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13245696 = 28325749
BaseRepresentation
bin110010100001…
…110100000000
3220220221200100
4302201310000
511342330241
61151522400
7220405122
oct62416400
926827610
1013245696
117527762
124529400
132989cb9
141a8b212
1512699b6
hexca1d00

13245696 has 54 divisors (see below), whose sum is σ = 38197250. Its totient is φ = 4414464.

The previous prime is 13245691. The next prime is 13245709. The reversal of 13245696 is 69654231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 5760000 = 2736^2 + 2400^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13245696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13245691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 571 + ... + 5178.

Almost surely, 213245696 is an apocalyptic number.

13245696 is a gapful number since it is divisible by the number (16) 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 13245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098625).

13245696 is an abundant number, since it is smaller than the sum of its proper divisors (24951554).

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

13245696 is an equidigital number, since it uses as much as digits as its factorization.

13245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5754 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13245696 is about 3639.4636967553. The cubic root of 13245696 is about 236.6055501337.

The spelling of 13245696 in words is "thirteen million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5749 11498 17247 22996 34494 45992 51741 68988 91984 103482 137976 183968 206964 275952 367936 413928 551904 735872 827856 1103808 1471744 1655712 2207616 3311424 4415232 6622848 13245696