Search a number
-
+
13113760 = 255117451
BaseRepresentation
bin110010000001…
…100110100000
3220200020200211
4302001212200
511324120020
61145023504
7216315352
oct62014640
926606624
1013113760
117447620
124484b94
132941c2a
141a550d2
15124085a
hexc819a0

13113760 has 48 divisors (see below), whose sum is σ = 33802272. Its totient is φ = 4768000.

The previous prime is 13113733. The next prime is 13113769. The reversal of 13113760 is 6731131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13113769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 5485.

It is an arithmetic number, because the mean of its divisors is an integer number (704214).

Almost surely, 213113760 is an apocalyptic number.

13113760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113760 is an abundant number, since it is smaller than the sum of its proper divisors (20688512).

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

13113760 is a wasteful number, since it uses less digits than its factorization.

13113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13113760 is about 3621.2925869087. The cubic root of 13113760 is about 235.8173440639.

Adding to 13113760 its reverse (6731131), we get a palindrome (19844891).

It can be divided in two parts, 13113 and 760, that multiplied together give a triangular number (9965880 = T4464).

The spelling of 13113760 in words is "thirteen million, one hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7451 14902 29804 37255 59608 74510 81961 119216 149020 163922 238432 298040 327844 409805 596080 655688 819610 1192160 1311376 1639220 2622752 3278440 6556880 13113760