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164561436 = 223313117209
BaseRepresentation
bin10011100111100…
…00001000011100
3102110122120212000
421303300020130
5314111431221
624155042300
74035514644
oct1163601034
9373576760
10164561436
1184988496
1247140390
1328129a40
1417bd9524
15e6a8e26
hex9cf021c

164561436 has 48 divisors (see below), whose sum is σ = 459463200. Its totient is φ = 50633856.

The previous prime is 164561431. The next prime is 164561437. The reversal of 164561436 is 634165461.

It is a happy number.

164561436 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 614 + 36 = 666.

164561436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 164561436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164561431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57201 + ... + 60008.

It is an arithmetic number, because the mean of its divisors is an integer number (9572150).

Almost surely, 2164561436 is an apocalyptic number.

It is an amenable number.

164561436 is an abundant number, since it is smaller than the sum of its proper divisors (294901764).

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

164561436 is a wasteful number, since it uses less digits than its factorization.

164561436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117235 (or 117227 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164561436 is about 12828.1501394394. The cubic root of 164561436 is about 547.9942768507.

The spelling of 164561436 in words is "one hundred sixty-four million, five hundred sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 117209 234418 351627 468836 703254 1054881 1406508 1523717 2109762 3047434 3164643 4219524 4571151 6094868 6329286 9142302 12658572 13713453 18284604 27426906 41140359 54853812 82280718 164561436