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13413610 = 257375179
BaseRepresentation
bin110011001010…
…110011101010
3221020111000101
4303022303222
511413213420
61155300014
7222004510
oct63126352
927214011
1013413610
117631931
1245aa60a
132a18562
141ad24b0
15129e60a
hexccacea

13413610 has 32 divisors (see below), whose sum is σ = 28344960. Its totient is φ = 4473792.

The previous prime is 13413599. The next prime is 13413637. The reversal of 13413610 is 1631431.

13413610 is a nontrivial binomial coefficient, being equal to C(5180, 2).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 5179.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 213413610 is an apocalyptic number.

13413610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13413610 is the 5179-th triangular number and also the 2590-th hexagonal number.

13413610 is the 1727-th centered nonagonal number.

13413610 is an abundant number, since it is smaller than the sum of its proper divisors (14931350).

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

13413610 is a wasteful number, since it uses less digits than its factorization.

13413610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13413610 is about 3662.4595560907. The cubic root of 13413610 is about 237.6011609681.

The spelling of 13413610 in words is "thirteen million, four hundred thirteen thousand, six hundred ten".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590 5179 10358 25895 36253 51790 72506 181265 191623 362530 383246 958115 1341361 1916230 2682722 6706805 13413610