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164707136 = 2611221269
BaseRepresentation
bin10011101000100…
…11101101000000
3102110220222201022
421310103231000
5314131112021
624202125012
74036662506
oct1164235500
9373828638
10164707136
1184a77a00
12471b0768
132817b159
1417c36676
15e6d71ab
hex9d13b40

164707136 has 42 divisors (see below), whose sum is σ = 359271570. Its totient is φ = 74863360.

The previous prime is 164707111. The next prime is 164707159. The reversal of 164707136 is 631707461.

It can be written as a sum of positive squares in only one way, i.e., 145347136 + 19360000 = 12056^2 + 4400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164707096 and 164707105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2891 + ... + 18378.

It is an arithmetic number, because the mean of its divisors is an integer number (8554085).

Almost surely, 2164707136 is an apocalyptic number.

164707136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164707136 is an abundant number, since it is smaller than the sum of its proper divisors (194564434).

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

164707136 is a wasteful number, since it uses less digits than its factorization.

164707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21303 (or 21282 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 164707136 is about 12833.8277999979. The cubic root of 164707136 is about 548.1559575293.

The spelling of 164707136 in words is "one hundred sixty-four million, seven hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 21269 42538 85076 170152 233959 340304 467918 680608 935836 1361216 1871672 2573549 3743344 5147098 7486688 10294196 14973376 20588392 41176784 82353568 164707136