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122528796 = 223131967617
BaseRepresentation
bin1110100110110…
…10010000011100
322112120002220120
413103122100130
5222331410141
620054114540
73015322545
oct723322034
9275502816
10122528796
1163189775
123504ba50
131c500c60
14123b74cc
15ab54c66
hex74da41c

122528796 has 96 divisors (see below), whose sum is σ = 329468160. Its totient is φ = 35126784.

The previous prime is 122528767. The next prime is 122528831. The reversal of 122528796 is 697825221.

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 31 ways as a sum of consecutive naturals, for example, 198280 + ... + 198896.

It is an arithmetic number, because the mean of its divisors is an integer number (3431960).

Almost surely, 2122528796 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 122528796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164734080).

122528796 is an abundant number, since it is smaller than the sum of its proper divisors (206939364).

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

122528796 is a wasteful number, since it uses less digits than its factorization.

122528796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 122528796 is about 11069.2726048282. The cubic root of 122528796 is about 496.6831064230.

The spelling of 122528796 in words is "one hundred twenty-two million, five hundred twenty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 67 76 78 114 134 156 201 228 247 268 402 494 617 741 804 871 988 1234 1273 1482 1742 1851 2468 2546 2613 2964 3484 3702 3819 5092 5226 7404 7638 8021 10452 11723 15276 16042 16549 23446 24063 32084 33098 35169 41339 46892 48126 49647 66196 70338 82678 96252 99294 124017 140676 152399 165356 198588 248034 304798 457197 496068 537407 609596 785441 914394 1074814 1570882 1612221 1828788 2149628 2356323 3141764 3224442 4712646 6448884 9425292 10210733 20421466 30632199 40842932 61264398 122528796