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12871368 = 2332533373
BaseRepresentation
bin110001000110…
…011011001000
3220012221012100
4301012123020
511243340433
61135513400
7214255566
oct61063310
926187170
1012871368
1172a14a4
124388860
1328887c3
1419d0a36
1511e3b13
hexc466c8

12871368 has 48 divisors (see below), whose sum is σ = 35528220. Its totient is φ = 4208256.

The previous prime is 12871367. The next prime is 12871387. The reversal of 12871368 is 86317821.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 2490084 = 3222^2 + 1578^2 .

It is a super-2 number, since 2×128713682 = 331344228382848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12871361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 5502.

Almost surely, 212871368 is an apocalyptic number.

12871368 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 12871368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764110).

12871368 is an abundant number, since it is smaller than the sum of its proper divisors (22656852).

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

12871368 is a wasteful number, since it uses less digits than its factorization.

12871368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3431 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12871368 is about 3587.6688810424. The cubic root of 12871368 is about 234.3553662486.

The spelling of 12871368 in words is "twelve million, eight hundred seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3373 3816 6746 10119 13492 20238 26984 30357 40476 60714 80952 121428 178769 242856 357538 536307 715076 1072614 1430152 1608921 2145228 3217842 4290456 6435684 12871368