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13337088 = 29319457
BaseRepresentation
bin110010111000…
…001000000000
3221002121001020
4302320020000
511403241323
61153505440
7221235432
oct62701000
927077036
1013337088
11758a396
124572280
1329bc78b
141ab2652
151286ae3
hexcb8200

13337088 has 80 divisors (see below), whose sum is σ = 37482720. Its totient is φ = 4202496.

The previous prime is 13337083. The next prime is 13337113. The reversal of 13337088 is 88073331.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13337083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28956 + ... + 29412.

It is an arithmetic number, because the mean of its divisors is an integer number (468534).

Almost surely, 213337088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13337088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741360).

13337088 is an abundant number, since it is smaller than the sum of its proper divisors (24145632).

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

13337088 is an equidigital number, since it uses as much as digits as its factorization.

13337088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13337088 is about 3651.9978094188. The cubic root of 13337088 is about 237.1484764582.

The spelling of 13337088 in words is "thirteen million, three hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 457 512 608 768 912 914 1216 1371 1536 1824 1828 2432 2742 3648 3656 4864 5484 7296 7312 8683 9728 10968 14592 14624 17366 21936 26049 29184 29248 34732 43872 52098 58496 69464 87744 104196 116992 138928 175488 208392 233984 277856 350976 416784 555712 701952 833568 1111424 1667136 2222848 3334272 4445696 6668544 13337088