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10089792 = 26335839
BaseRepresentation
bin100110011111…
…010101000000
3200222121121000
4212133111000
510040333132
61000132000
7151522206
oct46372500
920877530
1010089792
115771679
123467000
1321236bb
1414a9076
15d4487c
hex99f540

10089792 has 56 divisors (see below), whose sum is σ = 29667200. Its totient is φ = 3362688.

The previous prime is 10089791. The next prime is 10089797. The reversal of 10089792 is 29798001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 4647.

Almost surely, 210089792 is an apocalyptic number.

10089792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10089792 is an abundant number, since it is smaller than the sum of its proper divisors (19577408).

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

10089792 is an equidigital number, since it uses as much as digits as its factorization.

10089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10089792 is about 3176.4432940004. The cubic root of 10089792 is about 216.0863852003.

The spelling of 10089792 in words is "ten million, eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 5839 11678 17517 23356 35034 46712 52551 70068 93424 105102 140136 157653 186848 210204 280272 315306 373696 420408 560544 630612 840816 1121088 1261224 1681632 2522448 3363264 5044896 10089792