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156080440 = 23519415009
BaseRepresentation
bin10010100110110…
…01100100111000
3101212200201010001
421103121210320
5304424033230
623253202344
73603443005
oct1123314470
9355621101
10156080440
11801155aa
12443303b4
132644a6b9
1416a2c8ac
15da810ca
hex94d9938

156080440 has 64 divisors (see below), whose sum is σ = 378756000. Its totient is φ = 57692160.

The previous prime is 156080437. The next prime is 156080447. The reversal of 156080440 is 44080651.

It is a super-2 number, since 2×1560804402 = 48722207501187200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 156080399 and 156080408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156080447) 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 15 ways as a sum of consecutive naturals, for example, 28656 + ... + 33664.

Almost surely, 2156080440 is an apocalyptic number.

156080440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156080440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189378000).

156080440 is an abundant number, since it is smaller than the sum of its proper divisors (222675560).

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

156080440 is a wasteful number, since it uses less digits than its factorization.

156080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 156080440 is about 12493.2157589629. The cubic root of 156080440 is about 538.4137721522.

It can be divided in two parts, 156080 and 440, that added together give a triangular number (156520 = T559).

The spelling of 156080440 in words is "one hundred fifty-six million, eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 5009 6232 7790 10018 15580 20036 25045 31160 40072 50090 95171 100180 190342 200360 205369 380684 410738 475855 761368 821476 951710 1026845 1642952 1903420 2053690 3806840 3902011 4107380 7804022 8214760 15608044 19510055 31216088 39020110 78040220 156080440