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112992966 = 23241153107
BaseRepresentation
bin1101011110000…
…10001011000110
321212121122012200
412233002023012
5212411233331
615113455330
72541265362
oct657021306
9255548180
10112992966
1158866319
1231a11546
131a542758
14110142a2
159dbe5e6
hex6bc22c6

112992966 has 24 divisors (see below), whose sum is σ = 250790904. Its totient is φ = 36745440.

The previous prime is 112992959. The next prime is 112992967. The reversal of 112992966 is 669299211.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112992967) 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 11 ways as a sum of consecutive naturals, for example, 75816 + ... + 77291.

It is an arithmetic number, because the mean of its divisors is an integer number (10449621).

Almost surely, 2112992966 is an apocalyptic number.

112992966 is an abundant number, since it is smaller than the sum of its proper divisors (137797938).

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

112992966 is a wasteful number, since it uses less digits than its factorization.

112992966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153156 (or 153153 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 112992966 is about 10629.8149560564. The cubic root of 112992966 is about 483.4487810892.

The spelling of 112992966 in words is "one hundred twelve million, nine hundred ninety-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 153107 306214 459321 918642 1377963 2755926 6277387 12554774 18832161 37664322 56496483 112992966