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13081088 = 2929881
BaseRepresentation
bin110001111001…
…101000000000
3220121120212202
4301321220000
511322043323
61144212332
7216121166
oct61715000
926546782
1013081088
117425019
12446a0a8
1329300b7
141a47236
151235d28
hexc79a00

13081088 has 40 divisors (see below), whose sum is σ = 27068580. Its totient is φ = 6307840.

The previous prime is 13081031. The next prime is 13081093. The reversal of 13081088 is 88018031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 350464 = 3568^2 + 592^2 .

It is a super-2 number, since 2×130810882 = 342229726527488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 13081088.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14408 + ... + 15288.

Almost surely, 213081088 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 13081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534290).

13081088 is an abundant number, since it is smaller than the sum of its proper divisors (13987492).

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

13081088 is an frugal number, since it uses more digits than its factorization.

13081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 13081088 is about 3616.7786772209. The cubic root of 13081088 is about 235.6213404859.

It can be divided in two parts, 130 and 81088, that added together give a palindrome (81218).

The spelling of 13081088 in words is "thirteen million, eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 881 928 1762 1856 3524 3712 7048 7424 14096 14848 25549 28192 51098 56384 102196 112768 204392 225536 408784 451072 817568 1635136 3270272 6540544 13081088