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13188890 = 25111323401
BaseRepresentation
bin110010010011…
…111100011010
3220211001202102
4302103330122
511334021030
61150403402
7220050401
oct62237432
926731672
1013188890
117499010
124500562
13296a1a0
141a74638
151257c45
hexc93f1a

13188890 has 64 divisors (see below), whose sum is σ = 29175552. Its totient is φ = 4224000.

The previous prime is 13188887. The next prime is 13188893. The reversal of 13188890 is 9888131.

13188890 = T356 + T357 + ... + T498.

It is an interprime number because it is at equal distance from previous prime (13188887) and next prime (13188893).

It is not an unprimeable number, because it can be changed into a prime (13188893) 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 31 ways as a sum of consecutive naturals, for example, 32690 + ... + 33090.

It is an arithmetic number, because the mean of its divisors is an integer number (455868).

Almost surely, 213188890 is an apocalyptic number.

13188890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13188890 is an abundant number, since it is smaller than the sum of its proper divisors (15986662).

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

13188890 is a wasteful number, since it uses less digits than its factorization.

13188890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 13188890 is about 3631.6511396333. The cubic root of 13188890 is about 236.2668269045.

The spelling of 13188890 in words is "thirteen million, one hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 13 22 23 26 46 55 65 110 115 130 143 230 253 286 299 401 506 598 715 802 1265 1430 1495 2005 2530 2990 3289 4010 4411 5213 6578 8822 9223 10426 16445 18446 22055 26065 32890 44110 46115 52130 57343 92230 101453 114686 119899 202906 239798 286715 507265 573430 599495 1014530 1198990 1318889 2637778 6594445 13188890