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128975104 = 281273967
BaseRepresentation
bin1111011000000…
…00000100000000
322222200121120201
413230000010000
5231004200404
620444214544
73124161466
oct754000400
9288617521
10128975104
11668919a5
123723a454
132094a13b
14131b4836
15b4c9ca4
hex7b00100

128975104 has 36 divisors (see below), whose sum is σ = 259538944. Its totient is φ = 63963648.

The previous prime is 128975101. The next prime is 128975123. The reversal of 128975104 is 401579821.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128975101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30529 + ... + 34495.

Almost surely, 2128975104 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 128975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129769472).

128975104 is an abundant number, since it is smaller than the sum of its proper divisors (130563840).

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

128975104 is an equidigital number, since it uses as much as digits as its factorization.

128975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 128975104 is about 11356.7206534281. The cubic root of 128975104 is about 505.2449277536.

The spelling of 128975104 in words is "one hundred twenty-eight million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 2032 3967 4064 7934 8128 15868 16256 31736 32512 63472 126944 253888 503809 507776 1007618 1015552 2015236 4030472 8060944 16121888 32243776 64487552 128975104