Search a number
-
+
123059712 = 293113709
BaseRepresentation
bin1110101010110…
…11111000000000
322120120002012010
413111123320000
5223000402322
620113332520
73022663446
oct725337000
9276502163
10123059712
1163511646
1235267140
131c6587c9
14124b4b96
15ac0c20c
hex755be00

123059712 has 80 divisors (see below), whose sum is σ = 331206480. Its totient is φ = 40599552.

The previous prime is 123059687. The next prime is 123059723. The reversal of 123059712 is 217950321.

It is a self number, because there is not a number n which added to its sum of digits gives 123059712.

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, 173214 + ... + 173922.

It is an arithmetic number, because the mean of its divisors is an integer number (4140081).

Almost surely, 2123059712 is an apocalyptic number.

123059712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165603240).

123059712 is an abundant number, since it is smaller than the sum of its proper divisors (208146768).

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

123059712 is an equidigital number, since it uses as much as digits as its factorization.

123059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 123059712 is about 11093.2282046301. The cubic root of 123059712 is about 497.3994470315.

The spelling of 123059712 in words is "one hundred twenty-three million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 709 768 904 1356 1418 1536 1808 2127 2712 2836 3616 4254 5424 5672 7232 8508 10848 11344 14464 17016 21696 22688 28928 34032 43392 45376 57856 68064 80117 86784 90752 136128 160234 173568 181504 240351 272256 320468 363008 480702 544512 640936 961404 1089024 1281872 1922808 2563744 3845616 5127488 7691232 10254976 15382464 20509952 30764928 41019904 61529856 123059712