Search a number
-
+
131504652 = 22326754521
BaseRepresentation
bin1111101011010…
…01101000001100
3100011110010110200
413311221220030
5232131122102
621014333500
73154525326
oct765515014
9304403420
10131504652
116825a434
123805a290
1321324606
1413672616
15b82951c
hex7d69a0c

131504652 has 36 divisors (see below), whose sum is σ = 337382136. Its totient is φ = 43179840.

The previous prime is 131504641. The next prime is 131504663. The reversal of 131504652 is 256405131.

131504652 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 0 + 4 + 652 = 666.

It is an interprime number because it is at equal distance from previous prime (131504641) and next prime (131504663).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1315046522 = 34586946995282208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24849 + ... + 29672.

It is an arithmetic number, because the mean of its divisors is an integer number (9371726).

Almost surely, 2131504652 is an apocalyptic number.

131504652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131504652 is an abundant number, since it is smaller than the sum of its proper divisors (205877484).

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

131504652 is a wasteful number, since it uses less digits than its factorization.

131504652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54598 (or 54593 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 131504652 is about 11467.5477762249. The cubic root of 131504652 is about 508.5266357439.

Adding to 131504652 its reverse (256405131), we get a palindrome (387909783).

The spelling of 131504652 in words is "one hundred thirty-one million, five hundred four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 54521 109042 163563 218084 327126 490689 654252 981378 1962756 3652907 7305814 10958721 14611628 21917442 32876163 43834884 65752326 131504652