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109975992 = 23372175501
BaseRepresentation
bin1101000111000…
…01100110111000
321122221100200220
412203201212320
5211123212432
614525100040
72503531500
oct643414670
9248840626
10109975992
1157095655
12309b7620
1319a27469
141086aa00
1599c572c
hex68e19b8

109975992 has 96 divisors (see below), whose sum is σ = 338703120. Its totient is φ = 29568000.

The previous prime is 109975967. The next prime is 109975997. The reversal of 109975992 is 299579901.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109975997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17242 + ... + 22742.

Almost surely, 2109975992 is an apocalyptic number.

109975992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109975992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169351560).

109975992 is an abundant number, since it is smaller than the sum of its proper divisors (228727128).

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

109975992 is a wasteful number, since it uses less digits than its factorization.

109975992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 51.

The square root of 109975992 is about 10486.9438827525. The cubic root of 109975992 is about 479.1071248645.

The spelling of 109975992 in words is "one hundred nine million, nine hundred seventy-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 5501 6664 9996 11002 16503 19992 22004 33006 38507 44008 66012 77014 93517 115521 132024 154028 187034 231042 269549 280551 308056 374068 462084 539098 561102 654619 748136 808647 924168 1078196 1122204 1309238 1617294 1963857 2156392 2244408 2618476 3234588 3927714 4582333 5236952 6469176 7855428 9164666 13746999 15710856 18329332 27493998 36658664 54987996 109975992