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13290810 = 2351353643
BaseRepresentation
bin110010101100…
…110100111010
3221000020120020
4302230310322
511400301220
61152511310
7220653501
oct62546472
927006506
1013290810
117558645
12454b536
1329a46b0
141a9d838
151278040
hexcacd3a

13290810 has 64 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 3204864.

The previous prime is 13290799. The next prime is 13290829. The reversal of 13290810 is 1809231.

It is a super-2 number, since 2×132908102 = 353291260912200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 20349 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (547722).

Almost surely, 213290810 is an apocalyptic number.

13290810 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 13290810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

13290810 is an abundant number, since it is smaller than the sum of its proper divisors (21763398).

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

13290810 is a wasteful number, since it uses less digits than its factorization.

13290810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13290810 is about 3645.6563195123. The cubic root of 13290810 is about 236.8738669035.

The spelling of 13290810 in words is "thirteen million, two hundred ninety thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 643 689 795 1286 1378 1590 1929 2067 3215 3445 3858 4134 6430 6890 8359 9645 10335 16718 19290 20670 25077 34079 41795 50154 68158 83590 102237 125385 170395 204474 250770 340790 443027 511185 886054 1022370 1329081 2215135 2658162 4430270 6645405 13290810