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16540164 = 22321014549
BaseRepresentation
bin111111000110…
…001000000100
31011010022211200
4333012020010
513213241124
61350302500
7260406024
oct77061004
934108750
1016540164
119377963
125657a30
1335716a4
1422a7a84
1516babc9
hexfc6204

16540164 has 36 divisors (see below), whose sum is σ = 42233100. Its totient is φ = 5457600.

The previous prime is 16540163. The next prime is 16540169. The reversal of 16540164 is 46104561.

16540164 is a `hidden beast` number, since 1 + 654 + 0 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 2160900 = 3792^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (16540163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 5910.

Almost surely, 216540164 is an apocalyptic number.

It is an amenable number.

16540164 is an abundant number, since it is smaller than the sum of its proper divisors (25692936).

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

16540164 is a wasteful number, since it uses less digits than its factorization.

16540164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16540164 is about 4066.9600440624. The cubic root of 16540164 is about 254.7885675311.

The spelling of 16540164 in words is "sixteen million, five hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 4549 9098 13647 18196 27294 40941 54588 81882 163764 459449 918898 1378347 1837796 2756694 4135041 5513388 8270082 16540164