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161071040 = 26513311249
BaseRepresentation
bin10011001100110…
…11111111000000
3102020002020221002
421212123333000
5312213233130
623552151132
73664036604
oct1146337700
9366066832
10161071040
1182a14069
1245b384a8
13274a7110
141756b504
15e219b45
hex999bfc0

161071040 has 112 divisors (see below), whose sum is σ = 426720000. Its totient is φ = 57507840.

The previous prime is 161071019. The next prime is 161071051. The reversal of 161071040 is 40170161.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128336 + ... + 129584.

It is an arithmetic number, because the mean of its divisors is an integer number (3810000).

Almost surely, 2161071040 is an apocalyptic number.

161071040 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 161071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360000).

161071040 is an abundant number, since it is smaller than the sum of its proper divisors (265648960).

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

161071040 is a wasteful number, since it uses less digits than its factorization.

161071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 161071040 is about 12691.3765998807. The cubic root of 161071040 is about 544.0921844932.

The spelling of 161071040 in words is "one hundred sixty-one million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1249 1612 1984 2015 2080 2480 2498 3224 4030 4160 4960 4996 6245 6448 8060 9920 9992 12490 12896 16120 16237 19984 24980 25792 32240 32474 38719 39968 49960 64480 64948 77438 79936 81185 99920 128960 129896 154876 162370 193595 199840 259792 309752 324740 387190 399680 503347 519584 619504 649480 774380 1006694 1039168 1239008 1298960 1548760 2013388 2478016 2516735 2597920 3097520 4026776 5033470 5195840 6195040 8053552 10066940 12390080 16107104 20133880 32214208 40267760 80535520 161071040