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164332260 = 22335347877
BaseRepresentation
bin10011100101110…
…00001011100100
3102110012221111000
421302320023210
5314032113020
624150113300
74033541541
oct1162701344
9373187430
10164332260
1184841294
124704b830
1328079631
1417b79bc8
15e661090
hex9cb82e4

164332260 has 96 divisors (see below), whose sum is σ = 513313920. Its totient is φ = 43645824.

The previous prime is 164332247. The next prime is 164332261. The reversal of 164332260 is 62233461.

164332260 is a `hidden beast` number, since 1 + 6 + 433 + 226 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164332261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 186942 + ... + 187818.

It is an arithmetic number, because the mean of its divisors is an integer number (5347020).

Almost surely, 2164332260 is an apocalyptic number.

164332260 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 164332260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256656960).

164332260 is an abundant number, since it is smaller than the sum of its proper divisors (348981660).

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

164332260 is a wasteful number, since it uses less digits than its factorization.

164332260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 164332260 is about 12819.2144845150. The cubic root of 164332260 is about 547.7397711291.

The spelling of 164332260 in words is "one hundred sixty-four million, three hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 347 540 694 877 1041 1388 1735 1754 2082 2631 3123 3470 3508 4164 4385 5205 5262 6246 6940 7893 8770 9369 10410 10524 12492 13155 15615 15786 17540 18738 20820 23679 26310 31230 31572 37476 39465 46845 47358 52620 62460 78930 93690 94716 118395 157860 187380 236790 304319 473580 608638 912957 1217276 1521595 1825914 2738871 3043190 3651828 4564785 5477742 6086380 8216613 9129570 10955484 13694355 16433226 18259140 27388710 32866452 41083065 54777420 82166130 164332260