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106274432 = 271175479
BaseRepresentation
bin1100101010110…
…01111010000000
321101222022010002
412111121322000
5204201240212
614313455132
72430213665
oct625317200
9241868102
10106274432
1154a97610
122b7114a8
131902c6a4
1410185a6c
1594e3ac2
hex6559e80

106274432 has 32 divisors (see below), whose sum is σ = 230968800. Its totient is φ = 48305920.

The previous prime is 106274401. The next prime is 106274447. The reversal of 106274432 is 234472601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1062744322 = 22588509793845248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106274395 and 106274404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36332 + ... + 39147.

It is an arithmetic number, because the mean of its divisors is an integer number (7217775).

Almost surely, 2106274432 is an apocalyptic number.

It is an amenable number.

106274432 is an abundant number, since it is smaller than the sum of its proper divisors (124694368).

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

106274432 is an equidigital number, since it uses as much as digits as its factorization.

106274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75504 (or 75492 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 106274432 is about 10308.9491220007. The cubic root of 106274432 is about 473.6704195872.

The spelling of 106274432 in words is "one hundred six million, two hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 75479 150958 301916 603832 830269 1207664 1660538 2415328 3321076 4830656 6642152 9661312 13284304 26568608 53137216 106274432