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104977032 = 23311633761
BaseRepresentation
bin1100100000111…
…01001010001000
321022112101102020
412100131022020
5203333231112
614230004440
72413201326
oct620351210
9238471366
10104977032
1154290886
122b1a6720
1318996cb4
14dd28d16
15933948c
hex641d288

104977032 has 32 divisors (see below), whose sum is σ = 262738080. Its totient is φ = 34952960.

The previous prime is 104977031. The next prime is 104977039. The reversal of 104977032 is 230779401.

It is a super-2 number, since 2×1049770322 = 22040354495058048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104976984 and 104977002.

It is not an unprimeable number, because it can be changed into a prime (104977031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26032 + ... + 29792.

It is an arithmetic number, because the mean of its divisors is an integer number (8210565).

Almost surely, 2104977032 is an apocalyptic number.

104977032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104977032 is an abundant number, since it is smaller than the sum of its proper divisors (157761048).

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

104977032 is a wasteful number, since it uses less digits than its factorization.

104977032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 104977032 is about 10245.8299810215. The cubic root of 104977032 is about 471.7349967945.

The spelling of 104977032 in words is "one hundred four million, nine hundred seventy-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1163 2326 3489 3761 4652 6978 7522 9304 11283 13956 15044 22566 27912 30088 45132 90264 4374043 8748086 13122129 17496172 26244258 34992344 52488516 104977032