Search a number
-
+
160945056 = 2534312003
BaseRepresentation
bin10011001011111…
…01001110100000
3102012211212010000
421211331032200
5312200220211
623545340000
73663003366
oct1145751640
9365755100
10160945056
1182938448
1245a97600
132746197c
1417537636
15e1e2656
hex997d3a0

160945056 has 120 divisors (see below), whose sum is σ = 488847744. Its totient is φ = 51891840.

The previous prime is 160945039. The next prime is 160945063. The reversal of 160945056 is 650549061.

160945056 is a `hidden beast` number, since 1 + 60 + 94 + 505 + 6 = 666.

160945056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1609450562 = 51806622101686272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 160945056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79351 + ... + 81353.

Almost surely, 2160945056 is an apocalyptic number.

160945056 is a gapful number since it is divisible by the number (16) 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 160945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244423872).

160945056 is an abundant number, since it is smaller than the sum of its proper divisors (327902688).

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

160945056 is a wasteful number, since it uses less digits than its factorization.

160945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 160945056 is about 12686.4122587909. The cubic root of 160945056 is about 543.9502910173.

It can be divided in two parts, 1609 and 45056, that added together give a triangular number (46665 = T305).

The spelling of 160945056 in words is "one hundred sixty million, nine hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2003 2232 2511 2592 2976 3348 4006 4464 5022 6009 6696 8012 8928 10044 12018 13392 16024 18027 20088 24036 26784 32048 36054 40176 48072 54081 62093 64096 72108 80352 96144 108162 124186 144216 162243 186279 192288 216324 248372 288432 324486 372558 432648 496744 558837 576864 648972 745116 865296 993488 1117674 1297944 1490232 1676511 1730592 1986976 2235348 2595888 2980464 3353022 4470696 5029533 5191776 5960928 6706044 8941392 10059066 13412088 17882784 20118132 26824176 40236264 53648352 80472528 160945056