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5419440 = 2433513193
BaseRepresentation
bin10100101011000110110000
3101012100002000
4110223012300
52341410230
6312054000
764031055
oct24530660
911170060
105419440
113071784
121994300
131179990
14a1102c
15720b60
hex52b1b0

5419440 has 160 divisors (see below), whose sum is σ = 20207040. Its totient is φ = 1327104.

The previous prime is 5419439. The next prime is 5419441. The reversal of 5419440 is 449145.

5419440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5419439) and next prime (5419441).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5419441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27984 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (126294).

Almost surely, 25419440 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 5419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103520).

5419440 is an abundant number, since it is smaller than the sum of its proper divisors (14787600).

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

5419440 is a wasteful number, since it uses less digits than its factorization.

5419440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5419440 is about 2327.9690719595. The cubic root of 5419440 is about 175.6513414389.

The spelling of 5419440 in words is "five million, four hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 193 195 208 216 234 240 260 270 312 351 360 386 390 432 468 520 540 579 585 624 702 720 772 780 936 965 1040 1080 1158 1170 1404 1544 1560 1737 1755 1872 1930 2160 2316 2340 2509 2808 2895 3088 3120 3474 3510 3860 4632 4680 5018 5211 5616 5790 6948 7020 7527 7720 8685 9264 9360 10036 10422 11580 12545 13896 14040 15054 15440 17370 20072 20844 22581 23160 25090 26055 27792 28080 30108 34740 37635 40144 41688 45162 46320 50180 52110 60216 67743 69480 75270 83376 90324 100360 104220 112905 120432 135486 138960 150540 180648 200720 208440 225810 270972 301080 338715 361296 416880 451620 541944 602160 677430 903240 1083888 1354860 1806480 2709720 5419440