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12922368 = 29347179
BaseRepresentation
bin110001010010…
…111000000000
3220022112011020
4301102320000
511302003433
61140545440
7214560354
oct61227000
926275136
1012922368
117326848
1243b2280
1328a5a94
141a05464
151203cb3
hexc52e00

12922368 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4192256.

The previous prime is 12922367. The next prime is 12922369. The reversal of 12922368 is 86322921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12922367) and next prime (12922369).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922367) 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, 72103 + ... + 72281.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 212922368 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 12922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12922368 is an abundant number, since it is smaller than the sum of its proper divisors (22432512).

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

12922368 is an equidigital number, since it uses as much as digits as its factorization.

12922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 12922368 is about 3594.7695336419. The cubic root of 12922368 is about 234.6644857465.

The spelling of 12922368 in words is "twelve million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 179 188 192 256 282 358 376 384 512 537 564 716 752 768 1074 1128 1432 1504 1536 2148 2256 2864 3008 4296 4512 5728 6016 8413 8592 9024 11456 12032 16826 17184 18048 22912 24064 25239 33652 34368 36096 45824 50478 67304 68736 72192 91648 100956 134608 137472 201912 269216 274944 403824 538432 807648 1076864 1615296 2153728 3230592 4307456 6461184 12922368