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20188680 = 2335374547
BaseRepresentation
bin100110100000…
…0111000001000
31101222200122220
41031000320020
520132014210
62000414040
7333413061
oct115007010
941880586
1020188680
111043a066
126917320
13424b285
142977568
151b8bc70
hex1340e08

20188680 has 64 divisors (see below), whose sum is σ = 62216640. Its totient is φ = 5236992.

The previous prime is 20188667. The next prime is 20188703. The reversal of 20188680 is 8688102.

20188680 = 2342 + 2352 + ... + 4182.

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, 2167 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (972135).

Almost surely, 220188680 is an apocalyptic number.

20188680 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 20188680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108320).

20188680 is an abundant number, since it is smaller than the sum of its proper divisors (42027960).

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

20188680 is a wasteful number, since it uses less digits than its factorization.

20188680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 20188680 is about 4493.1815008967. The cubic root of 20188680 is about 272.2926852318.

The spelling of 20188680 in words is "twenty million, one hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 4547 9094 13641 18188 22735 27282 36376 45470 54564 68205 90940 109128 136410 168239 181880 272820 336478 504717 545640 672956 841195 1009434 1345912 1682390 2018868 2523585 3364780 4037736 5047170 6729560 10094340 20188680