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131353264 = 2471172797
BaseRepresentation
bin1111101010001…
…00101010110000
3100011011102210201
413311010222300
5232111301024
621011204544
73153325060
oct765045260
9304142721
10131353264
1168166719
1237ba6754
13212a0733
14136333a0
15b7e9744
hex7d44ab0

131353264 has 20 divisors (see below), whose sum is σ = 290853904. Its totient is φ = 56294208.

The previous prime is 131353223. The next prime is 131353279. The reversal of 131353264 is 462353131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 586287 + ... + 586510.

Almost surely, 2131353264 is an apocalyptic number.

131353264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131353264 is an abundant number, since it is smaller than the sum of its proper divisors (159500640).

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

131353264 is a wasteful number, since it uses less digits than its factorization.

131353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172812 (or 1172806 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 131353264 is about 11460.9451617220. The cubic root of 131353264 is about 508.3314223942.

It can be divided in two parts, 1313532 and 64, that multiplied together give a palindrome (84066048).

The spelling of 131353264 in words is "one hundred thirty-one million, three hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1172797 2345594 4691188 8209579 9382376 16419158 18764752 32838316 65676632 131353264