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101896032 = 2537151631
BaseRepresentation
bin1100001001011…
…00111101100000
321002201212002010
412010230331200
5202041133112
614035552520
72345046660
oct604547540
9232655063
10101896032
1152576aa7
122a15b740
1318158814
14d7661a0
158e2b63c
hex612cf60

101896032 has 48 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 29112960.

The previous prime is 101896019. The next prime is 101896043. The reversal of 101896032 is 230698101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75144 + ... + 76487.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2101896032 is an apocalyptic number.

101896032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101896032 is an abundant number, since it is smaller than the sum of its proper divisors (203794080).

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

101896032 is a wasteful number, since it uses less digits than its factorization.

101896032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151651 (or 151643 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 101896032 is about 10094.3564430824. The cubic root of 101896032 is about 467.0740696280.

The spelling of 101896032 in words is "one hundred one million, eight hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 151631 303262 454893 606524 909786 1061417 1213048 1819572 2122834 2426096 3184251 3639144 4245668 4852192 6368502 7278288 8491336 12737004 14556576 16982672 25474008 33965344 50948016 101896032