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103869792 = 25321327743
BaseRepresentation
bin1100011000011…
…10110101100000
321020110010120100
412030032311200
5203042313132
614150142400
72400610245
oct614166540
9236403510
10103869792
11536a4a04
122a951a00
131869a020
14db1b5cc
1591bb37c
hex630ed60

103869792 has 72 divisors (see below), whose sum is σ = 318112704. Its totient is φ = 31958784.

The previous prime is 103869791. The next prime is 103869833. The reversal of 103869792 is 297968301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103869791) 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, 10128 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (4418232).

Almost surely, 2103869792 is an apocalyptic number.

103869792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103869792 is an abundant number, since it is smaller than the sum of its proper divisors (214242912).

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

103869792 is a wasteful number, since it uses less digits than its factorization.

103869792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27772 (or 27761 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 103869792 is about 10191.6530553193. The cubic root of 103869792 is about 470.0705975135.

The spelling of 103869792 in words is "one hundred three million, eight hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 27743 55486 83229 110972 166458 221944 249687 332916 360659 443888 499374 665832 721318 887776 998748 1081977 1331664 1442636 1997496 2163954 2663328 2885272 3245931 3994992 4327908 5770544 6491862 7989984 8655816 11541088 12983724 17311632 25967448 34623264 51934896 103869792