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161691264 = 2732720051
BaseRepresentation
bin10011010001100…
…11011010000000
3102021020202201100
421220303122000
5312343110024
624013334400
74002232050
oct1150633200
9367222640
10161691264
11832a8049
1246197400
1327663507
141768d560
15e2dd7c9
hex9a33680

161691264 has 96 divisors (see below), whose sum is σ = 531779040. Its totient is φ = 46195200.

The previous prime is 161691251. The next prime is 161691307. The reversal of 161691264 is 462196161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1616912642 = 52288129707835392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1962 + ... + 18089.

It is an arithmetic number, because the mean of its divisors is an integer number (5539365).

Almost surely, 2161691264 is an apocalyptic number.

161691264 is a gapful number since it is divisible by the number (14) 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 161691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265889520).

161691264 is an abundant number, since it is smaller than the sum of its proper divisors (370087776).

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

161691264 is a wasteful number, since it uses less digits than its factorization.

161691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20063 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 161691264 is about 12715.7879818751. The cubic root of 161691264 is about 544.7896548198.

The spelling of 161691264 in words is "one hundred sixty-one million, six hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 20051 40102 60153 80204 120306 140357 160408 180459 240612 280714 320816 360918 421071 481224 561428 641632 721836 842142 962448 1122856 1263213 1283264 1443672 1684284 1924896 2245712 2526426 2566528 2887344 3368568 3849792 4491424 5052852 5774688 6737136 7699584 8982848 10105704 11549376 13474272 17965696 20211408 23098752 26948544 40422816 53897088 80845632 161691264