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13483296 = 253246817
BaseRepresentation
bin110011011011…
…110100100000
3221101000121100
4303123310200
511422431141
61200554400
7222414621
oct63336440
927330540
1013483296
11767a222
124622a00
132a411a8
141b0da48
1512b50b6
hexcdbd20

13483296 has 36 divisors (see below), whose sum is σ = 38343942. Its totient is φ = 4494336.

The previous prime is 13483247. The next prime is 13483303. The reversal of 13483296 is 69238431.

13483296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 3370896 = 3180^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13483296.

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, 23121 + ... + 23696.

Almost surely, 213483296 is an apocalyptic number.

13483296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13483296 is an abundant number, since it is smaller than the sum of its proper divisors (24860646).

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

13483296 is a wasteful number, since it uses less digits than its factorization.

13483296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46833 (or 46822 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13483296 is about 3671.9607841043. The cubic root of 13483296 is about 238.0119100506.

The spelling of 13483296 in words is "thirteen million, four hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46817 93634 140451 187268 280902 374536 421353 561804 749072 842706 1123608 1498144 1685412 2247216 3370824 4494432 6741648 13483296