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12840696 = 23321131523
BaseRepresentation
bin110000111110…
…111011111000
3220011101010100
4300332323320
511241400241
61135115400
7214100301
oct60767370
926141110
1012840696
117280450
124372b60
13287785b
1419c37a8
1511d99b6
hexc3eef8

12840696 has 96 divisors (see below), whose sum is σ = 39237120. Its totient is φ = 3758400.

The previous prime is 12840691. The next prime is 12840697. The reversal of 12840696 is 69604821.

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 12840696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840691) 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, 24291 + ... + 24813.

It is an arithmetic number, because the mean of its divisors is an integer number (408720).

Almost surely, 212840696 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 12840696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618560).

12840696 is an abundant number, since it is smaller than the sum of its proper divisors (26396424).

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

12840696 is a wasteful number, since it uses less digits than its factorization.

12840696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12840696 is about 3583.3916894473. The cubic root of 12840696 is about 234.1690647599.

The spelling of 12840696 in words is "twelve million, eight hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 523 558 682 744 792 1023 1046 1116 1364 1569 2046 2092 2232 2728 3069 3138 4092 4184 4707 5753 6138 6276 8184 9414 11506 12276 12552 16213 17259 18828 23012 24552 32426 34518 37656 46024 48639 51777 64852 69036 97278 103554 129704 138072 145917 178343 194556 207108 291834 356686 389112 414216 535029 583668 713372 1070058 1167336 1426744 1605087 2140116 3210174 4280232 6420348 12840696