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12917268 = 22327133943
BaseRepresentation
bin110001010001…
…101000010100
3220022021011100
4301101220110
511301323033
61140510100
7214536450
oct61215024
926267140
1012917268
117322a31
1243ab330
1328a3670
141a03660
151202513
hexc51a14

12917268 has 72 divisors (see below), whose sum is σ = 40197248. Its totient is φ = 3405888.

The previous prime is 12917249. The next prime is 12917269. The reversal of 12917268 is 86271921.

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 (12917269) 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, 1305 + ... + 5247.

Almost surely, 212917268 is an apocalyptic number.

12917268 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 12917268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20098624).

12917268 is an abundant number, since it is smaller than the sum of its proper divisors (27279980).

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

12917268 is a wasteful number, since it uses less digits than its factorization.

12917268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3968 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12917268 is about 3594.0600996644. The cubic root of 12917268 is about 234.6336104365.

The spelling of 12917268 in words is "twelve million, nine hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3943 7886 11829 15772 23658 27601 35487 47316 51259 55202 70974 82803 102518 110404 141948 153777 165606 205036 248409 307554 331212 358813 461331 496818 615108 717626 922662 993636 1076439 1435252 1845324 2152878 3229317 4305756 6458634 12917268