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13804596 = 22321322269
BaseRepresentation
bin110100101010…
…010000110100
3221222100100100
4310222100310
512013221341
61211514100
7225223431
oct64522064
927870310
1013804596
117879663
124758930
132b24500
141b94b88
15132a3b6
hexd2a434

13804596 has 54 divisors (see below), whose sum is σ = 37802310. Its totient is φ = 4245696.

The previous prime is 13804573. The next prime is 13804597. The reversal of 13804596 is 69540831.

It can be written as a sum of positive squares in 3 ways, for example, as 1102500 + 12702096 = 1050^2 + 3564^2 .

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 13804596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804597) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4950 + ... + 7218.

Almost surely, 213804596 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 13804596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901155).

13804596 is an abundant number, since it is smaller than the sum of its proper divisors (23997714).

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

13804596 is a wasteful number, since it uses less digits than its factorization.

13804596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13804596 is about 3715.4536735101. The cubic root of 13804596 is about 239.8876557531.

It can be divided in two parts, 13804 and 596, that added together give a square (14400 = 1202).

The spelling of 13804596 in words is "thirteen million, eight hundred four thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2269 3042 4538 6084 6807 9076 13614 20421 27228 29497 40842 58994 81684 88491 117988 176982 265473 353964 383461 530946 766922 1061892 1150383 1533844 2300766 3451149 4601532 6902298 13804596