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18688680 = 2332551913
BaseRepresentation
bin100011101001…
…0101010101000
31022011111001100
41013102222220
514241014210
61504321400
7314564643
oct107225250
938144040
1018688680
11a60509a
126313260
133b445ba
1426a6a5a
1519925c0
hex11d2aa8

18688680 has 48 divisors (see below), whose sum is σ = 60739380. Its totient is φ = 4983552.

The previous prime is 18688667. The next prime is 18688711. The reversal of 18688680 is 8688681.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18507204 + 181476 = 4302^2 + 426^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25597 + ... + 26316.

Almost surely, 218688680 is an apocalyptic number.

18688680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18688680 is an abundant number, since it is smaller than the sum of its proper divisors (42050700).

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

18688680 is a wasteful number, since it uses less digits than its factorization.

18688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51930 (or 51923 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 18688680 is about 4323.0405966172. The cubic root of 18688680 is about 265.3747161253.

Subtracting from 18688680 its reverse (8688681), we obtain a palindrome (9999999).

It can be divided in two parts, 186886 and 80, that added together give a triangular number (186966 = T611).

The spelling of 18688680 in words is "eighteen million, six hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 51913 103826 155739 207652 259565 311478 415304 467217 519130 622956 778695 934434 1038260 1245912 1557390 1868868 2076520 2336085 3114780 3737736 4672170 6229560 9344340 18688680