Search a number
-
+
131424020 = 22571372211
BaseRepresentation
bin1111101010101…
…01111100010100
3100011022000212022
413311111330110
5232121032040
621012512312
73154041260
oct765257424
9304260768
10131424020
11682048a2
123801b698
13212c69c0
14136510a0
15b8106b5
hex7d55f14

131424020 has 48 divisors (see below), whose sum is σ = 339685248. Its totient is φ = 41592960.

The previous prime is 131423987. The next prime is 131424023. The reversal of 131424020 is 20424131.

It is a self number, because there is not a number n which added to its sum of digits gives 131424020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131424023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34286 + ... + 37925.

It is an arithmetic number, because the mean of its divisors is an integer number (7076776).

Almost surely, 2131424020 is an apocalyptic number.

131424020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424020 is an abundant number, since it is smaller than the sum of its proper divisors (208261228).

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

131424020 is a wasteful number, since it uses less digits than its factorization.

131424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72240 (or 72238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131424020 is about 11464.0315770675. The cubic root of 131424020 is about 508.4226802251.

Adding to 131424020 its reverse (20424131), we get a palindrome (151848151).

The spelling of 131424020 in words is "one hundred thirty-one million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 72211 144422 288844 361055 505477 722110 938743 1010954 1444220 1877486 2021908 2527385 3754972 4693715 5054770 6571201 9387430 10109540 13142402 18774860 26284804 32856005 65712010 131424020