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161109936 = 24321389967
BaseRepresentation
bin10011001101001…
…01011110110000
3102020011020021200
421212211132300
5312221004221
623553051200
73664261161
oct1146453660
9366136250
10161109936
1182a40309
1245b56b00
13274bba30
141757b768
15e226426
hex99a57b0

161109936 has 120 divisors (see below), whose sum is σ = 491531040. Its totient is φ = 48964608.

The previous prime is 161109931. The next prime is 161109953. The reversal of 161109936 is 639901161.

161109936 is a `hidden beast` number, since 1 + 611 + 0 + 9 + 9 + 36 = 666.

161109936 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 2×1611099362 = 51912822955848192, 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 161109936.

It is not an unprimeable number, because it can be changed into a prime (161109931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166125 + ... + 167091.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2161109936 is an apocalyptic number.

161109936 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 161109936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

161109936 is an abundant number, since it is smaller than the sum of its proper divisors (330421104).

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

161109936 is a wasteful number, since it uses less digits than its factorization.

161109936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 161109936 is about 12692.9088864610. The cubic root of 161109936 is about 544.1359773983.

The spelling of 161109936 in words is "one hundred sixty-one million, one hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 267 312 356 468 534 624 712 801 936 967 1068 1157 1424 1602 1872 1934 2136 2314 2901 3204 3471 3868 4272 4628 5802 6408 6942 7736 8703 9256 10413 11604 12571 12816 13884 15472 17406 18512 20826 23208 25142 27768 34812 37713 41652 46416 50284 55536 69624 75426 83304 86063 100568 113139 139248 150852 166608 172126 201136 226278 258189 301704 344252 452556 516378 603408 688504 774567 905112 1032756 1118819 1377008 1549134 1810224 2065512 2237638 3098268 3356457 4131024 4475276 6196536 6712914 8950552 10069371 12393072 13425828 17901104 20138742 26851656 40277484 53703312 80554968 161109936