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16204540 = 22511731009
BaseRepresentation
bin111101110100…
…001011111100
31010111021110011
4331310023330
513122021130
61335153004
7254510362
oct75641374
933437404
1016204540
119168790
125515764
1334849b1
14221b632
15165152a
hexf742fc

16204540 has 48 divisors (see below), whose sum is σ = 37668960. Its totient is φ = 5806080.

The previous prime is 16204523. The next prime is 16204561. The reversal of 16204540 is 4540261.

It is a super-2 number, since 2×162045402 = 525174233223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15556 + ... + 16564.

It is an arithmetic number, because the mean of its divisors is an integer number (784770).

Almost surely, 216204540 is an apocalyptic number.

16204540 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 16204540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834480).

16204540 is an abundant number, since it is smaller than the sum of its proper divisors (21464420).

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

16204540 is a wasteful number, since it uses less digits than its factorization.

16204540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 16204540 is about 4025.4863060256. The cubic root of 16204540 is about 253.0534343229.

It can be divided in two parts, 162045 and 40, that multiplied together give a triangular number (6481800 = T3600).

The spelling of 16204540 in words is "sixteen million, two hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1009 1460 1606 2018 3212 4015 4036 5045 8030 10090 11099 16060 20180 22198 44396 55495 73657 110990 147314 221980 294628 368285 736570 810227 1473140 1620454 3240908 4051135 8102270 16204540