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102992064 = 263776631
BaseRepresentation
bin1100010001110…
…00100011000000
321011210112112220
412020320203000
5202331221224
614115251040
72360263260
oct610704300
9234715486
10102992064
115315550a
122a5a9a80
1318450666
14d96d7a0
159096279
hex62388c0

102992064 has 56 divisors (see below), whose sum is σ = 311432448. Its totient is φ = 29425920.

The previous prime is 102992059. The next prime is 102992083. The reversal of 102992064 is 460299201.

It is a tau number, because it is divible by the number of its divisors (56).

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, 36972 + ... + 39659.

Almost surely, 2102992064 is an apocalyptic number.

102992064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102992064 is an abundant number, since it is smaller than the sum of its proper divisors (208440384).

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

102992064 is an equidigital number, since it uses as much as digits as its factorization.

102992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76653 (or 76643 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 102992064 is about 10148.5005789033. The cubic root of 102992064 is about 468.7427754975.

The spelling of 102992064 in words is "one hundred two million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 76631 153262 229893 306524 459786 536417 613048 919572 1072834 1226096 1609251 1839144 2145668 2452192 3218502 3678288 4291336 4904384 6437004 7356576 8582672 12874008 14713152 17165344 25748016 34330688 51496032 102992064