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13375332 = 2232794703
BaseRepresentation
bin110011000001…
…011101100100
3221011112111200
4303001131210
511411002312
61154402500
7221455065
oct63013544
927145450
1013375332
1176060a3
124590430
132a03cc9
141ac256c
1512930dc
hexcc1764

13375332 has 36 divisors (see below), whose sum is σ = 34245120. Its totient is φ = 4401072.

The previous prime is 13375303. The next prime is 13375333. The reversal of 13375332 is 23357331.

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

It is a super-2 number, since 2×133753322 = 357799012220448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13375296 and 13375305.

It is not an unprimeable number, because it can be changed into a prime (13375333) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 493 + ... + 5195.

Almost surely, 213375332 is an apocalyptic number.

13375332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13375332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122560).

13375332 is an abundant number, since it is smaller than the sum of its proper divisors (20869788).

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

13375332 is a wasteful number, since it uses less digits than its factorization.

13375332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4787 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 13375332 is about 3657.2300994058. The cubic root of 13375332 is about 237.3749339679.

The spelling of 13375332 in words is "thirteen million, three hundred seventy-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 4703 9406 14109 18812 28218 42327 56436 84654 169308 371537 743074 1114611 1486148 2229222 3343833 4458444 6687666 13375332