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123053728 = 2571929997
BaseRepresentation
bin1110101010110…
…10011010100000
322120112202222111
413111122122200
5223000204403
620113245104
73022640140
oct725323240
9276482874
10123053728
11635080a6
1235263794
131c655b75
14124b2920
15ac0a56d
hex755a6a0

123053728 has 96 divisors (see below), whose sum is σ = 301795200. Its totient is φ = 48190464.

The previous prime is 123053717. The next prime is 123053731. The reversal of 123053728 is 827350321.

It is a self number, because there is not a number n which added to its sum of digits gives 123053728.

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 15 ways as a sum of consecutive naturals, for example, 122926 + ... + 123922.

It is an arithmetic number, because the mean of its divisors is an integer number (3143700).

Almost surely, 2123053728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150897600).

123053728 is an abundant number, since it is smaller than the sum of its proper divisors (178741472).

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

123053728 is a wasteful number, since it uses less digits than its factorization.

123053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 123053728 is about 11092.9584872567. The cubic root of 123053728 is about 497.3913845863.

The spelling of 123053728 in words is "one hundred twenty-three million, fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 406 464 532 551 608 812 928 997 1064 1102 1624 1994 2128 2204 3248 3857 3988 4256 4408 6496 6979 7714 7976 8816 13958 15428 15952 17632 18943 27916 28913 30856 31904 37886 55832 57826 61712 75772 111664 115652 123424 132601 151544 202391 223328 231304 265202 303088 404782 462608 530404 549347 606176 809564 925216 1060808 1098694 1619128 2121616 2197388 3238256 3845429 4243232 4394776 6476512 7690858 8789552 15381716 17579104 30763432 61526864 123053728