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13663410 = 2351773367
BaseRepresentation
bin110100000111…
…110010110010
3221201011200020
4310013302302
511444212120
61204504310
7224065005
oct64076262
927634606
1013663410
117792582
1246ab096
132aa5177
141b5953c
1512ed640
hexd07cb2

13663410 has 64 divisors (see below), whose sum is σ = 35292672. Its totient is φ = 3373056.

The previous prime is 13663399. The next prime is 13663423. The reversal of 13663410 is 1436631.

13663410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37047 + ... + 37413.

It is an arithmetic number, because the mean of its divisors is an integer number (551448).

Almost surely, 213663410 is an apocalyptic number.

13663410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13663410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646336).

13663410 is an abundant number, since it is smaller than the sum of its proper divisors (21629262).

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

13663410 is a wasteful number, since it uses less digits than its factorization.

13663410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13663410 is about 3696.4050102769. The cubic root of 13663410 is about 239.0670376771.

It can be divided in two parts, 136 and 63410, that added together give a triangular number (63546 = T356).

The spelling of 13663410 in words is "thirteen million, six hundred sixty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 146 170 219 255 365 367 438 510 730 734 1095 1101 1241 1835 2190 2202 2482 3670 3723 5505 6205 6239 7446 11010 12410 12478 18615 18717 26791 31195 37230 37434 53582 62390 80373 93585 133955 160746 187170 267910 401865 455447 803730 910894 1366341 2277235 2732682 4554470 6831705 13663410