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13412790 = 234529571
BaseRepresentation
bin110011001010…
…100110110110
3221020102220000
4303022212312
511413202130
61155252130
7222002226
oct63124666
927212800
1013412790
117631256
1245aa046
132a18081
141ad2086
15129e260
hexcca9b6

13412790 has 80 divisors (see below), whose sum is σ = 37374480. Its totient is φ = 3447360.

The previous prime is 13412783. The next prime is 13412807. The reversal of 13412790 is 9721431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 23205 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (467181).

Almost surely, 213412790 is an apocalyptic number.

13412790 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 13412790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687240).

13412790 is an abundant number, since it is smaller than the sum of its proper divisors (23961690).

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

13412790 is a wasteful number, since it uses less digits than its factorization.

13412790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13412790 is about 3662.3476077511. The cubic root of 13412790 is about 237.5963191961.

The spelling of 13412790 in words is "thirteen million, four hundred twelve thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 571 783 810 870 1142 1305 1566 1713 2349 2610 2855 3426 3915 4698 5139 5710 7830 8565 10278 11745 15417 16559 17130 23490 25695 30834 33118 46251 49677 51390 77085 82795 92502 99354 149031 154170 165590 231255 248385 298062 447093 462510 496770 745155 894186 1341279 1490310 2235465 2682558 4470930 6706395 13412790