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100992479 = 727392789
BaseRepresentation
bin1100000010100…
…00010111011111
321001000221122012
412001100113133
5201323224404
614004341435
72334264500
oct601202737
9231027565
10100992479
115200a165
12299a487b
1317c00483
14d5acba7
158ceda6e
hex60505df

100992479 has 12 divisors (see below), whose sum is σ = 117682200. Its totient is φ = 86416848.

The previous prime is 100992469. The next prime is 100992481. The reversal of 100992479 is 974299001.

It is a happy number.

It is not a de Polignac number, because 100992479 - 220 = 99943903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100992449) 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, 34817 + ... + 37605.

It is an arithmetic number, because the mean of its divisors is an integer number (9806850).

Almost surely, 2100992479 is an apocalyptic number.

100992479 is a deficient number, since it is larger than the sum of its proper divisors (16689721).

100992479 is an equidigital number, since it uses as much as digits as its factorization.

100992479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 100992479 is about 10049.5014304193. The cubic root of 100992479 is about 465.6893909659.

The spelling of 100992479 in words is "one hundred million, nine hundred ninety-two thousand, four hundred seventy-nine".

Divisors: 1 7 49 739 2789 5173 19523 36211 136661 2061071 14427497 100992479