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156400128 = 293233941
BaseRepresentation
bin10010101001001…
…11101000000000
3101220021221122100
421110213220000
5310014301003
623304110400
73606244023
oct1124475000
9356257570
10156400128
1180313805
1244465400
1326530071
1416ab31ba
15dae5ba3
hex9527a00

156400128 has 60 divisors (see below), whose sum is σ = 451394658. Its totient is φ = 52131840.

The previous prime is 156400121. The next prime is 156400129. The reversal of 156400128 is 821004651.

156400128 is a `hidden beast` number, since 1 + 5 + 640 + 0 + 12 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133818624 + 22581504 = 11568^2 + 4752^2 .

It is a super-2 number, since 2×1564001282 = 48922000076832768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (156400121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12363 + ... + 21578.

Almost surely, 2156400128 is an apocalyptic number.

156400128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

156400128 is an abundant number, since it is smaller than the sum of its proper divisors (294994530).

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

156400128 is an equidigital number, since it uses as much as digits as its factorization.

156400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33965 (or 33946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 156400128 is about 12506.0036782339. The cubic root of 156400128 is about 538.7811191410.

Adding to 156400128 its reverse (821004651), we get a palindrome (977404779).

The spelling of 156400128 in words is "one hundred fifty-six million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 33941 67882 101823 135764 203646 271528 305469 407292 543056 610938 814584 1086112 1221876 1629168 2172224 2443752 3258336 4344448 4887504 6516672 8688896 9775008 13033344 17377792 19550016 26066688 39100032 52133376 78200064 156400128