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13059396 = 22327291787
BaseRepresentation
bin110001110100…
…010101000100
3220120111010100
4301310111010
511320400041
61143524100
7216001020
oct61642504
926514110
1013059396
11740a799
124459630
13292326c
141a3d380
15122e6b6
hexc74544

13059396 has 72 divisors (see below), whose sum is σ = 39049920. Its totient is φ = 3600576.

The previous prime is 13059391. The next prime is 13059427. The reversal of 13059396 is 69395031.

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 13059396.

It is not an unprimeable number, because it can be changed into a prime (13059391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6415 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (542360).

Almost surely, 213059396 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 13059396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19524960).

13059396 is an abundant number, since it is smaller than the sum of its proper divisors (25990524).

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

13059396 is a wasteful number, since it uses less digits than its factorization.

13059396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13059396 is about 3613.7786318478. The cubic root of 13059396 is about 235.4910270155.

It can be divided in two parts, 1305 and 9396, that added together give a palindrome (10701).

The spelling of 13059396 in words is "thirteen million, fifty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1787 1827 2436 3574 3654 5361 7148 7308 10722 12509 16083 21444 25018 32166 37527 50036 51823 64332 75054 103646 112581 150108 155469 207292 225162 310938 362761 450324 466407 621876 725522 932814 1088283 1451044 1865628 2176566 3264849 4353132 6529698 13059396