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18861700 = 225211131319
BaseRepresentation
bin100011111110…
…0111010000100
31022111021101111
41013330322010
514312033300
61512134404
7316215244
oct107747204
938437344
1018861700
11a713090
126397404
133ba5290
14270db24
1519c89ba
hex11fce84

18861700 has 72 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 6326400.

The previous prime is 18861683. The next prime is 18861707. The reversal of 18861700 is 716881.

It is a super-3 number, since 3×188617003 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (18861707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13641 + ... + 14959.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 218861700 is an apocalyptic number.

18861700 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 18861700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

18861700 is an abundant number, since it is smaller than the sum of its proper divisors (29260220).

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

18861700 is a wasteful number, since it uses less digits than its factorization.

18861700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 18861700 is about 4343.0058715134. The cubic root of 18861700 is about 266.1911490932.

The spelling of 18861700 in words is "eighteen million, eight hundred sixty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1319 1430 2638 2860 3575 5276 6595 7150 13190 14300 14509 17147 26380 29018 32975 34294 58036 65950 68588 72545 85735 131900 145090 171470 188617 290180 342940 362725 377234 428675 725450 754468 857350 943085 1450900 1714700 1886170 3772340 4715425 9430850 18861700