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5349240 = 2334513127
BaseRepresentation
bin10100011001111101111000
3101001202210000
4110121331320
52332133430
6310353000
763316311
oct24317570
911052700
105349240
113023a66
12195b760
131153a40
149d3608
15709e60
hex519f78

5349240 has 160 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1306368.

The previous prime is 5349233. The next prime is 5349247. The reversal of 5349240 is 429435.

5349240 is a `hidden beast` number, since 534 + 92 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5349233) and next prime (5349247).

It is a super-2 number, since 2×53492402 = 57228737155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349247) 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 39 ways as a sum of consecutive naturals, for example, 42057 + ... + 42183.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

Almost surely, 25349240 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 5349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

5349240 is an abundant number, since it is smaller than the sum of its proper divisors (14165640).

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

5349240 is a wasteful number, since it uses less digits than its factorization.

5349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5349240 is about 2312.8424070827. The cubic root of 5349240 is about 174.8896174649.

The spelling of 5349240 in words is "five million, three hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 127 130 135 156 162 180 195 216 234 254 260 270 312 324 351 360 381 390 405 468 508 520 540 585 635 648 702 762 780 810 936 1016 1053 1080 1143 1170 1270 1404 1524 1560 1620 1651 1755 1905 2106 2286 2340 2540 2808 3048 3240 3302 3429 3510 3810 4212 4572 4680 4953 5080 5265 5715 6604 6858 7020 7620 8255 8424 9144 9906 10287 10530 11430 13208 13716 14040 14859 15240 16510 17145 19812 20574 21060 22860 24765 27432 29718 33020 34290 39624 41148 42120 44577 45720 49530 51435 59436 66040 68580 74295 82296 89154 99060 102870 118872 133731 137160 148590 178308 198120 205740 222885 267462 297180 356616 411480 445770 534924 594360 668655 891540 1069848 1337310 1783080 2674620 5349240