Search a number
-
+
13131984 = 243594637
BaseRepresentation
bin110010000110…
…000011010000
3220201011200210
4302012003100
511330210414
61145244120
7216422445
oct62060320
926634623
1013131984
11745a288
124493640
13294a308
141a5b9cc
151245e59
hexc860d0

13131984 has 40 divisors (see below), whose sum is σ = 34506720. Its totient is φ = 4302208.

The previous prime is 13131961. The next prime is 13132001. The reversal of 13131984 is 48913131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (862668).

Almost surely, 213131984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253360).

13131984 is an abundant number, since it is smaller than the sum of its proper divisors (21374736).

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

13131984 is a wasteful number, since it uses less digits than its factorization.

13131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4701 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 13131984 is about 3623.8079419307. The cubic root of 13131984 is about 235.9265308030.

The spelling of 13131984 in words is "thirteen million, one hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 4637 9274 13911 18548 27822 37096 55644 74192 111288 222576 273583 547166 820749 1094332 1641498 2188664 3282996 4377328 6565992 13131984