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109492992 = 283373173
BaseRepresentation
bin1101000011010…
…11101100000000
321122000211011000
412201223230000
5211012233432
614510452000
72466450360
oct641535400
9248024130
10109492992
1156895784
1230804000
13198b866b
14107829a0
15992c57c
hex686bb00

109492992 has 288 divisors, whose sum is σ = 387215360. Its totient is φ = 29859840.

The previous prime is 109492979. The next prime is 109493011. The reversal of 109492992 is 299294901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1094929922 = 23977430594224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1499868 + ... + 1499940.

Almost surely, 2109492992 is an apocalyptic number.

109492992 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 109492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193607680).

109492992 is an abundant number, since it is smaller than the sum of its proper divisors (277722368).

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

109492992 is an equidigital number, since it uses as much as digits as its factorization.

109492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

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

The square root of 109492992 is about 10463.8899076777. The cubic root of 109492992 is about 478.4047038534.

The spelling of 109492992 in words is "one hundred nine million, four hundred ninety-two thousand, nine hundred ninety-two".