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102142992 = 2437303997
BaseRepresentation
bin1100001011010…
…01010000010000
321010012101211210
412011221100100
5202122033432
614045140120
72350125660
oct605512020
9233171753
10102142992
11527255a6
122a25a640
1318214053
14d7cc1a0
158e798cc
hex6169410

102142992 has 40 divisors (see below), whose sum is σ = 301566016. Its totient is φ = 29183616.

The previous prime is 102142979. The next prime is 102143003. The reversal of 102142992 is 299241201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151663 + ... + 152334.

Almost surely, 2102142992 is an apocalyptic number.

102142992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102142992 is an abundant number, since it is smaller than the sum of its proper divisors (199423024).

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

102142992 is a wasteful number, since it uses less digits than its factorization.

102142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304015 (or 304009 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 102142992 is about 10106.5816179359. The cubic root of 102142992 is about 467.4511060612.

The spelling of 102142992 in words is "one hundred two million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 303997 607994 911991 1215988 1823982 2127979 2431976 3647964 4255958 4863952 6383937 7295928 8511916 12767874 14591856 17023832 25535748 34047664 51071496 102142992