Search a number
-
+
12689360 = 245158617
BaseRepresentation
bin110000011001…
…111111010000
3212212200112022
4300121333100
511222024420
61131551012
7212600135
oct60317720
925780468
1012689360
117187782
1242bb468
1328239c8
14198458c
1511a9c25
hexc19fd0

12689360 has 20 divisors (see below), whose sum is σ = 29502948. Its totient is φ = 5075712.

The previous prime is 12689357. The next prime is 12689363. The reversal of 12689360 is 6398621.

12689360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12689357) and next prime (12689363).

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 6012304 = 2584^2 + 2452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×126893602 = 322039714419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12689360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79229 + ... + 79388.

Almost surely, 212689360 is an apocalyptic number.

12689360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12689360 is an abundant number, since it is smaller than the sum of its proper divisors (16813588).

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

12689360 is a wasteful number, since it uses less digits than its factorization.

12689360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158630 (or 158624 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 12689360 is about 3562.2127954405. The cubic root of 12689360 is about 233.2454816666.

The spelling of 12689360 in words is "twelve million, six hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 158617 317234 634468 793085 1268936 1586170 2537872 3172340 6344680 12689360