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5370405840 = 243356140759
BaseRepresentation
bin1010000000001100…
…11110001111010000
3111212021100212212000
411000012132033100
541444310441330
62244522234000
7250040460612
oct50006361720
914767325760
105370405840
1123064aa438
12105a655900
1367780ab47
1438d360db2
15216721560
hex14019e3d0

5370405840 has 160 divisors (see below), whose sum is σ = 18801772800. Its totient is φ = 1408596480.

The previous prime is 5370405839. The next prime is 5370405847. The reversal of 5370405840 is 485040735.

5370405840 is a `hidden beast` number, since 5 + 3 + 70 + 4 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×53704058402 = 57682517772612211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5370405795 and 5370405804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370405847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111381 + ... + 152139.

It is an arithmetic number, because the mean of its divisors is an integer number (117511080).

Almost surely, 25370405840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5370405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400886400).

5370405840 is an abundant number, since it is smaller than the sum of its proper divisors (13431366960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5370405840 is a wasteful number, since it uses less digits than its factorization.

5370405840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842 (or 40830 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5370405840 is about 73283.0528840059. The cubic root of 5370405840 is about 1751.1998128578.

The spelling of 5370405840 in words is "five billion, three hundred seventy million, four hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3294 3660 4392 4880 5490 6588 7320 8235 8784 10980 13176 14640 16470 21960 26352 32940 40759 43920 65880 81518 122277 131760 163036 203795 244554 326072 366831 407590 489108 611385 652144 733662 815180 978216 1100493 1222770 1467324 1630360 1834155 1956432 2200986 2445540 2486299 2934648 3260720 3668310 4401972 4891080 4972598 5502465 5869296 7336620 7458897 8803944 9782160 9945196 11004930 12431495 14673240 14917794 17607888 19890392 22009860 22376691 24862990 29346480 29835588 37294485 39780784 44019720 44753382 49725980 59671176 67130073 74588970 88039440 89506764 99451960 111883455 119342352 134260146 149177940 179013528 198903920 223766910 268520292 298355880 335650365 358027056 447533820 537040584 596711760 671300730 895067640 1074081168 1342601460 1790135280 2685202920 5370405840