Search a number
-
+
156408960 = 273581463
BaseRepresentation
bin10010101001010…
…01110010000000
3101220022101202110
421110221302000
5310020041320
623304215320
73606311541
oct1124516200
9356271673
10156408960
118031a404
124446a540
13265340a6
1416ab64c8
15dae85e0
hex9529c80

156408960 has 64 divisors (see below), whose sum is σ = 498559680. Its totient is φ = 41708544.

The previous prime is 156408949. The next prime is 156408983. The reversal of 156408960 is 69804651.

156408960 is digitally balanced in base 3, 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38812 + ... + 42651.

It is an arithmetic number, because the mean of its divisors is an integer number (7789995).

Almost surely, 2156408960 is an apocalyptic number.

156408960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156408960 is an abundant number, since it is smaller than the sum of its proper divisors (342150720).

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

156408960 is an equidigital number, since it uses as much as digits as its factorization.

156408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81485 (or 81473 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 156408960 is about 12506.3567836521. The cubic root of 156408960 is about 538.7912607041.

The spelling of 156408960 in words is "one hundred fifty-six million, four hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 81463 162926 244389 325852 407315 488778 651704 814630 977556 1221945 1303408 1629260 1955112 2443890 2606816 3258520 3910224 4887780 5213632 6517040 7820448 9775560 10427264 13034080 15640896 19551120 26068160 31281792 39102240 52136320 78204480 156408960