Search a number
-
+
13337408 = 26724253
BaseRepresentation
bin110010111000…
…001101000000
3221002121111002
4302320031000
511403244113
61153511132
7221236400
oct62701500
927077432
1013337408
11758a657
1245724a8
1329bc976
141ab2800
151286c58
hexcb8340

13337408 has 42 divisors (see below), whose sum is σ = 30794706. Its totient is φ = 5714688.

The previous prime is 13337393. The next prime is 13337431. The reversal of 13337408 is 80473331.

It can be written as a sum of positive squares in only one way, i.e., 8809024 + 4528384 = 2968^2 + 2128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010 + ... + 5262.

Almost surely, 213337408 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 13337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397353).

13337408 is an abundant number, since it is smaller than the sum of its proper divisors (17457298).

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

13337408 is an equidigital number, since it uses as much as digits as its factorization.

13337408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 13337408 is about 3652.0416207924. The cubic root of 13337408 is about 237.1503730968.

The spelling of 13337408 in words is "thirteen million, three hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4253 8506 17012 29771 34024 59542 68048 119084 136096 208397 238168 272192 416794 476336 833588 952672 1667176 1905344 3334352 6668704 13337408