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20968180 = 2252379577
BaseRepresentation
bin100111111111…
…1001011110100
31110110021221021
41033333023310
520331440210
62025230524
7343140502
oct117771364
943407837
1020968180
1110921782
127032444
13446200c
142adb672
151c92bda
hex13ff2f4

20968180 has 48 divisors (see below), whose sum is σ = 46609920. Its totient is φ = 7907328.

The previous prime is 20968177. The next prime is 20968223. The reversal of 20968180 is 8186902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36052 + ... + 36628.

It is an arithmetic number, because the mean of its divisors is an integer number (971040).

Almost surely, 220968180 is an apocalyptic number.

20968180 is a gapful number since it is divisible by the number (20) 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 20968180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304960).

20968180 is an abundant number, since it is smaller than the sum of its proper divisors (25641740).

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

20968180 is a wasteful number, since it uses less digits than its factorization.

20968180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 20968180 is about 4579.1025321563. The cubic root of 20968180 is about 275.7529996301.

The spelling of 20968180 in words is "twenty million, nine hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 577 790 1154 1580 1817 2308 2885 3634 5770 7268 9085 11540 13271 18170 26542 36340 45583 53084 66355 91166 132710 182332 227915 265420 455830 911660 1048409 2096818 4193636 5242045 10484090 20968180