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156135920 = 24519139739
BaseRepresentation
bin10010100111001…
…11000111110000
3101212210112012212
421103213013300
5304432322140
623254311252
73604063523
oct1123470760
9355715185
10156135920
1180153256
1244358528
1326469a25
1416a44bba
15da92765
hex94e71f0

156135920 has 80 divisors (see below), whose sum is σ = 385392000. Its totient is φ = 58662144.

The previous prime is 156135919. The next prime is 156135923. The reversal of 156135920 is 29531651.

156135920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156135923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210911 + ... + 211649.

It is an arithmetic number, because the mean of its divisors is an integer number (4817400).

Almost surely, 2156135920 is an apocalyptic number.

156135920 is a gapful number since it is divisible by the number (10) 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 156135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192696000).

156135920 is an abundant number, since it is smaller than the sum of its proper divisors (229256080).

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

156135920 is a wasteful number, since it uses less digits than its factorization.

156135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 156135920 is about 12495.4359667840. The cubic root of 156135920 is about 538.4775590419.

The spelling of 156135920 in words is "one hundred fifty-six million, one hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 380 556 695 739 760 1112 1390 1478 1520 2224 2641 2780 2956 3695 5282 5560 5912 7390 10564 11120 11824 13205 14041 14780 21128 26410 28082 29560 42256 52820 56164 59120 70205 102721 105640 112328 140410 205442 211280 224656 280820 410884 513605 561640 821768 1027210 1123280 1643536 1951699 2054420 3903398 4108840 7806796 8217680 9758495 15613592 19516990 31227184 39033980 78067960 156135920