Search a number
-
+
160885872 = 2433783641
BaseRepresentation
bin10011001011011…
…10110001110000
3102012201211221000
421211232301300
5312141321442
623544202000
73662336010
oct1145566160
9365654830
10160885872
11828a7a34
1245a69300
1327440a54
141751dc40
15e1ced4c
hex996ec70

160885872 has 160 divisors (see below), whose sum is σ = 534965760. Its totient is φ = 45342720.

The previous prime is 160885867. The next prime is 160885891. The reversal of 160885872 is 278588061.

160885872 is a `hidden beast` number, since 1 + 60 + 8 + 8 + 587 + 2 = 666.

160885872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250672 + ... + 251312.

It is an arithmetic number, because the mean of its divisors is an integer number (3343536).

Almost surely, 2160885872 is an apocalyptic number.

160885872 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 160885872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267482880).

160885872 is an abundant number, since it is smaller than the sum of its proper divisors (374079888).

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

160885872 is a wasteful number, since it uses less digits than its factorization.

160885872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 160885872 is about 12684.0794699497. The cubic root of 160885872 is about 543.8836075960.

The spelling of 160885872 in words is "one hundred sixty million, eight hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 641 664 747 756 996 1008 1162 1282 1328 1494 1512 1743 1923 1992 2241 2324 2564 2988 3024 3486 3846 3984 4482 4487 4648 5128 5229 5769 5976 6972 7692 8964 8974 9296 10256 10458 11538 11952 13461 13944 15384 15687 17307 17928 17948 20916 23076 26922 27888 30768 31374 34614 35856 35896 40383 41832 46152 53203 53844 62748 69228 71792 80766 83664 92304 106406 107688 121149 125496 138456 159609 161532 212812 215376 242298 250992 276912 319218 323064 372421 425624 478827 484596 638436 646128 744842 851248 957654 969192 1117263 1276872 1436481 1489684 1915308 1938384 2234526 2553744 2872962 2979368 3351789 3830616 4469052 5745924 5958736 6703578 7661232 8938104 10055367 11491848 13407156 17876208 20110734 22983696 26814312 40221468 53628624 80442936 160885872