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13357908 = 2232537001
BaseRepresentation
bin110010111101…
…001101010100
3221010122121100
4302331031110
511404423113
61154150100
7221353224
oct62751524
927118540
1013357908
1175a3aa3
124582330
1329c90b5
141aba084
15128cd73
hexcbd354

13357908 has 36 divisors (see below), whose sum is σ = 34407828. Its totient is φ = 4368000.

The previous prime is 13357889. The next prime is 13357973. The reversal of 13357908 is 80975331.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 5673924 = 2772^2 + 2382^2 .

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

It is a super-2 number, since 2×133579082 = 356867412272928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1593 + ... + 5408.

It is an arithmetic number, because the mean of its divisors is an integer number (955773).

Almost surely, 213357908 is an apocalyptic number.

13357908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13357908 is an abundant number, since it is smaller than the sum of its proper divisors (21049920).

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

13357908 is a wasteful number, since it uses less digits than its factorization.

13357908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13357908 is about 3654.8471924282. The cubic root of 13357908 is about 237.2718133340.

The spelling of 13357908 in words is "thirteen million, three hundred fifty-seven thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 7001 14002 21003 28004 42006 63009 84012 126018 252036 371053 742106 1113159 1484212 2226318 3339477 4452636 6678954 13357908