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540550164 = 223731111939
BaseRepresentation
bin100000001110000…
…010010000010100
31101200010210102110
4200032002100110
52101340101124
6125345511020
716252413000
oct4016022024
91350123373
10540550164
11258143380
12131042470
1387cb218b
1451b0d700
15326c8029
hex20382414

540550164 has 96 divisors (see below), whose sum is σ = 1604736000. Its totient is φ = 140390880.

The previous prime is 540550151. The next prime is 540550183. The reversal of 540550164 is 461055045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39307 + ... + 51245.

It is an arithmetic number, because the mean of its divisors is an integer number (16716000).

Almost surely, 2540550164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540550164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802368000).

540550164 is an abundant number, since it is smaller than the sum of its proper divisors (1064185836).

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

540550164 is a wasteful number, since it uses less digits than its factorization.

540550164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 540550164 is about 23249.7347081639. The cubic root of 540550164 is about 814.6017420117.

The spelling of 540550164 in words is "five hundred forty million, five hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 6468 7546 11319 11939 15092 22638 23878 35817 45276 47756 71634 83573 131329 143268 167146 250719 262658 334292 393987 501438 525316 585011 787974 919303 1002876 1170022 1575948 1755033 1838606 2340044 2757909 3510066 3677212 4095077 5515818 6435121 7020132 8190154 11031636 12285231 12870242 16380308 19305363 24570462 25740484 38610726 45045847 49140924 77221452 90091694 135137541 180183388 270275082 540550164