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12996648 = 23327107241
BaseRepresentation
bin110001100101…
…000000101000
3220110022001100
4301211000220
511311343043
61142321400
7215320050
oct61450050
926408040
1012996648
117377635
124429260
132900832
141a24560
15121acd3
hexc65028

12996648 has 96 divisors (see below), whose sum is σ = 40772160. Its totient is φ = 3663360.

The previous prime is 12996647. The next prime is 12996661. The reversal of 12996648 is 84669921.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996647) 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, 53808 + ... + 54048.

It is an arithmetic number, because the mean of its divisors is an integer number (424710).

Almost surely, 212996648 is an apocalyptic number.

12996648 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 12996648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386080).

12996648 is an abundant number, since it is smaller than the sum of its proper divisors (27775512).

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

12996648 is a wasteful number, since it uses less digits than its factorization.

12996648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 12996648 is about 3605.0864067315. The cubic root of 12996648 is about 235.1132576147.

The spelling of 12996648 in words is "twelve million, nine hundred ninety-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 241 252 321 428 482 504 642 723 749 856 963 964 1284 1446 1498 1687 1926 1928 2169 2247 2568 2892 2996 3374 3852 4338 4494 5061 5784 5992 6741 6748 7704 8676 8988 10122 13482 13496 15183 17352 17976 20244 25787 26964 30366 40488 51574 53928 60732 77361 103148 121464 154722 180509 206296 232083 309444 361018 464166 541527 618888 722036 928332 1083054 1444072 1624581 1856664 2166108 3249162 4332216 6498324 12996648