Search a number
-
+
161872256 = 2771321069
BaseRepresentation
bin10011010010111…
…11100110000000
3102021120221222202
421221133212000
5312414403011
624021252332
74003614530
oct1151374600
9367527882
10161872256
1183411027
12462640a8
13276c7a00
14176d94c0
15e32723b
hex9a5f980

161872256 has 96 divisors (see below), whose sum is σ = 399452400. Its totient is φ = 63977472.

The previous prime is 161872241. The next prime is 161872273. The reversal of 161872256 is 652278161.

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 11 ways as a sum of consecutive naturals, for example, 150890 + ... + 151958.

Almost surely, 2161872256 is an apocalyptic number.

161872256 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 161872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199726200).

161872256 is an abundant number, since it is smaller than the sum of its proper divisors (237580144).

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

161872256 is a wasteful number, since it uses less digits than its factorization.

161872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1091 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 161872256 is about 12722.9028134306. The cubic root of 161872256 is about 544.9928523598.

The spelling of 161872256 in words is "one hundred sixty-one million, eight hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1069 1183 1352 1456 1664 2138 2366 2704 2912 4276 4732 5408 5824 7483 8552 9464 10816 11648 13897 14966 17104 18928 21632 27794 29932 34208 37856 55588 59864 68416 75712 97279 111176 119728 136832 151424 180661 194558 222352 239456 361322 389116 444704 478912 722644 778232 889408 957824 1264627 1445288 1556464 1778816 2529254 2890576 3112928 5058508 5781152 6225856 10117016 11562304 12451712 20234032 23124608 40468064 80936128 161872256