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131434452 = 22323650957
BaseRepresentation
bin1111101010110…
…00011111010100
3100011022120011200
413311120133110
5232121400302
621013032500
73154113552
oct765303724
9304276150
10131434452
1168211716
1238025730
13212cb686
1413654bd2
15b81381c
hex7d587d4

131434452 has 18 divisors (see below), whose sum is σ = 332237178. Its totient is φ = 43811472.

The previous prime is 131434441. The next prime is 131434453. The reversal of 131434452 is 254434131.

It is a happy number.

131434452 is a `hidden beast` number, since 1 + 314 + 344 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128731716 + 2702736 = 11346^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1825443 + ... + 1825514.

It is an arithmetic number, because the mean of its divisors is an integer number (18457621).

Almost surely, 2131434452 is an apocalyptic number.

131434452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131434452 is an abundant number, since it is smaller than the sum of its proper divisors (200802726).

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

131434452 is a wasteful number, since it uses less digits than its factorization.

131434452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650967 (or 3650962 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 131434452 is about 11464.4865563182. The cubic root of 131434452 is about 508.4361321676.

Adding to 131434452 its reverse (254434131), we get a palindrome (385868583).

The spelling of 131434452 in words is "one hundred thirty-one million, four hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3650957 7301914 10952871 14603828 21905742 32858613 43811484 65717226 131434452