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12900368 = 2413109569
BaseRepresentation
bin110001001101…
…100000010000
3220021101222102
4301031200100
511300302433
61140255532
7214436255
oct61154020
926241872
1012900368
117311268
1243a15a8
132898a70
1419db42c
1511ec4e8
hexc4d810

12900368 has 40 divisors (see below), whose sum is σ = 27211800. Its totient is φ = 5889024.

The previous prime is 12900367. The next prime is 12900397. The reversal of 12900368 is 86300921.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 12730624 = 412^2 + 3568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12900368.

It is not an unprimeable number, because it can be changed into a prime (12900361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22388 + ... + 22956.

It is an arithmetic number, because the mean of its divisors is an integer number (680295).

Almost surely, 212900368 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 12900368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605900).

12900368 is an abundant number, since it is smaller than the sum of its proper divisors (14311432).

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

12900368 is a wasteful number, since it uses less digits than its factorization.

12900368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12900368 is about 3591.7082286845. The cubic root of 12900368 is about 234.5312400131.

The spelling of 12900368 in words is "twelve million, nine hundred thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 569 872 1138 1417 1744 2276 2834 4552 5668 7397 9104 11336 14794 22672 29588 59176 62021 118352 124042 248084 496168 806273 992336 1612546 3225092 6450184 12900368