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12608568 = 2333731269
BaseRepresentation
bin110000000110…
…010000111000
3212201120201000
4300012100320
511211433233
61130125000
7212112450
oct60062070
925646630
1012608568
117132005
124280760
1327c5cbb
141962d60
151190d13
hexc06438

12608568 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3473280.

The previous prime is 12608507. The next prime is 12608569. The reversal of 12608568 is 86580621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46738 + ... + 47006.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 212608568 is an apocalyptic number.

12608568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12608568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

12608568 is an abundant number, since it is smaller than the sum of its proper divisors (28863432).

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

12608568 is a wasteful number, since it uses less digits than its factorization.

12608568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12608568 is about 3550.8545450356. The cubic root of 12608568 is about 232.7494097743.

The spelling of 12608568 in words is "twelve million, six hundred eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 269 279 372 378 434 504 538 558 651 744 756 807 837 868 1076 1116 1302 1512 1614 1674 1736 1883 1953 2152 2232 2421 2604 3228 3348 3766 3906 4842 5208 5649 5859 6456 6696 7263 7532 7812 8339 9684 11298 11718 14526 15064 15624 16678 16947 19368 22596 23436 25017 29052 33356 33894 45192 46872 50034 50841 58104 58373 66712 67788 75051 100068 101682 116746 135576 150102 175119 200136 203364 225153 233492 300204 350238 406728 450306 466984 525357 600408 700476 900612 1050714 1400952 1576071 1801224 2101428 3152142 4202856 6304284 12608568