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123132096 = 263371257
BaseRepresentation
bin1110101011011…
…01100011000000
322120200202111000
413111231203000
5223010211341
620115052000
73023414463
oct725554300
9276622430
10123132096
1163560a6a
12352a1000
131c682739
14124d32da
15ac238b6
hex756d8c0

123132096 has 56 divisors (see below), whose sum is σ = 361990640. Its totient is φ = 41043456.

The previous prime is 123132089. The next prime is 123132101. The reversal of 123132096 is 690231321.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33901 + ... + 37356.

Almost surely, 2123132096 is an apocalyptic number.

123132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123132096 is an abundant number, since it is smaller than the sum of its proper divisors (238858544).

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

123132096 is an equidigital number, since it uses as much as digits as its factorization.

123132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71278 (or 71262 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123132096 is about 11096.4902559323. The cubic root of 123132096 is about 497.4969517418.

The spelling of 123132096 in words is "one hundred twenty-three million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 71257 142514 213771 285028 427542 570056 641313 855084 1140112 1282626 1710168 1923939 2280224 2565252 3420336 3847878 4560448 5130504 6840672 7695756 10261008 13681344 15391512 20522016 30783024 41044032 61566048 123132096