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10089432 = 2332178243
BaseRepresentation
bin100110011111…
…001111011000
3200222121002200
4212133033120
510040330212
61000130200
7151521153
oct46371730
920877080
1010089432
115771381
123466960
1321234a2
1414a8c9a
15d446dc
hex99f3d8

10089432 has 48 divisors (see below), whose sum is σ = 28936440. Its totient is φ = 3164928.

The previous prime is 10089427. The next prime is 10089439. The reversal of 10089432 is 23498001.

It is a junction number, because it is equal to n+sod(n) for n = 10089396 and 10089405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 5345.

Almost surely, 210089432 is an apocalyptic number.

10089432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10089432 is an abundant number, since it is smaller than the sum of its proper divisors (18847008).

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

10089432 is a wasteful number, since it uses less digits than its factorization.

10089432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10089432 is about 3176.3866263413. The cubic root of 10089432 is about 216.0838152093.

It can be divided in two parts, 1008 and 9432, that added together give a triangular number (10440 = T144).

The spelling of 10089432 in words is "ten million, eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8243 16486 24729 32972 49458 65944 74187 98916 140131 148374 197832 280262 296748 420393 560524 593496 840786 1121048 1261179 1681572 2522358 3363144 5044716 10089432