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13337072 = 247193617
BaseRepresentation
bin110010111000…
…000111110000
3221002121000122
4302320013300
511403241242
61153505412
7221235410
oct62700760
927077018
1013337072
11758a381
124572268
1329bc778
141ab2640
151286ad2
hexcb81f0

13337072 has 40 divisors (see below), whose sum is σ = 29733216. Its totient is φ = 5677056.

The previous prime is 13337059. The next prime is 13337083. The reversal of 13337072 is 27073331.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21308 + ... + 21924.

Almost surely, 213337072 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 13337072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866608).

13337072 is an abundant number, since it is smaller than the sum of its proper divisors (16396144).

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

13337072 is a wasteful number, since it uses less digits than its factorization.

13337072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 13337072 is about 3651.9956188364. The cubic root of 13337072 is about 237.1483816255.

The spelling of 13337072 in words is "thirteen million, three hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 386 617 772 1234 1351 1544 2468 2702 3088 4319 4936 5404 8638 9872 10808 17276 21616 34552 69104 119081 238162 476324 833567 952648 1667134 1905296 3334268 6668536 13337072