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13292208 = 2433291061
BaseRepresentation
bin110010101101…
…001010110000
3221000022111000
4302231022300
511400322313
61152522000
7220660536
oct62551260
927008430
1013292208
1175596a6
124550300
1329a5217
141aa0156
151278673
hexcad2b0

13292208 has 80 divisors (see below), whose sum is σ = 39506400. Its totient is φ = 4273920.

The previous prime is 13292189. The next prime is 13292219. The reversal of 13292208 is 80229231.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11998 + ... + 13058.

It is an arithmetic number, because the mean of its divisors is an integer number (493830).

Almost surely, 213292208 is an apocalyptic number.

13292208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13292208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753200).

13292208 is an abundant number, since it is smaller than the sum of its proper divisors (26214192).

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

13292208 is a wasteful number, since it uses less digits than its factorization.

13292208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13292208 is about 3645.8480494941. The cubic root of 13292208 is about 236.8821718414.

The spelling of 13292208 in words is "thirteen million, two hundred ninety-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1061 1392 1566 2088 2122 3132 3183 4176 4244 6264 6366 8488 9549 12528 12732 16976 19098 25464 28647 30769 38196 50928 57294 61538 76392 92307 114588 123076 152784 184614 229176 246152 276921 369228 458352 492304 553842 738456 830763 1107684 1476912 1661526 2215368 3323052 4430736 6646104 13292208