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123145056 = 2533142529
BaseRepresentation
bin1110101011100…
…00101101100000
322120201102021000
413111300231200
5223011120211
620115232000
73023500326
oct725605540
9276642230
10123145056
116356a781
12352a8600
131c6885c8
14124d7d16
15ac27656
hex7570b60

123145056 has 48 divisors (see below), whose sum is σ = 359175600. Its totient is φ = 41048064.

The previous prime is 123145037. The next prime is 123145067. The reversal of 123145056 is 650541321.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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, 70401 + ... + 72128.

It is an arithmetic number, because the mean of its divisors is an integer number (7482825).

Almost surely, 2123145056 is an apocalyptic number.

123145056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123145056 is an abundant number, since it is smaller than the sum of its proper divisors (236030544).

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

123145056 is a wasteful number, since it uses less digits than its factorization.

123145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142548 (or 142534 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 123145056 is about 11097.0742089976. The cubic root of 123145056 is about 497.5144054480.

Adding to 123145056 its reverse (650541321), we get a palindrome (773686377).

The spelling of 123145056 in words is "one hundred twenty-three million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 142529 285058 427587 570116 855174 1140232 1282761 1710348 2280464 2565522 3420696 3848283 4560928 5131044 6841392 7696566 10262088 13682784 15393132 20524176 30786264 41048352 61572528 123145056