Search a number
-
+
131362644 = 22372296829
BaseRepresentation
bin1111101010001…
…10111101010100
3100011011220200010
413311012331110
5232112101034
621011320220
73153364320
oct765067524
9304156603
10131362644
1168172776
1237bb0070
13212a4a9a
1413636980
15b7ec3e9
hex7d46f54

131362644 has 48 divisors (see below), whose sum is σ = 351881600. Its totient is φ = 37362816.

The previous prime is 131362639. The next prime is 131362661. The reversal of 131362644 is 446263131.

It is a super-2 number, since 2×1313626442 = 34512288477341472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15822 + ... + 22650.

Almost surely, 2131362644 is an apocalyptic number.

131362644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131362644 is an abundant number, since it is smaller than the sum of its proper divisors (220518956).

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

131362644 is a wasteful number, since it uses less digits than its factorization.

131362644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7070 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 131362644 is about 11461.3543702304. The cubic root of 131362644 is about 508.3435221703.

The spelling of 131362644 in words is "one hundred thirty-one million, three hundred sixty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 229 458 687 916 1374 1603 2748 3206 4809 6412 6829 9618 13658 19236 20487 27316 40974 47803 81948 95606 143409 191212 286818 573636 1563841 3127682 4691523 6255364 9383046 10946887 18766092 21893774 32840661 43787548 65681322 131362644