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131428496 = 24172711783
BaseRepresentation
bin1111101010101…
…11000010010000
3100011022021000002
413311113002100
5232121202441
621012545132
73154060313
oct765270220
9304267002
10131428496
11682081a1
12380221a8
13212c8a54
141365297a
15b811b9b
hex7d57090

131428496 has 40 divisors (see below), whose sum is σ = 270768384. Its totient is φ = 61585920.

The previous prime is 131428487. The next prime is 131428519. The reversal of 131428496 is 694824131.

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 7 ways as a sum of consecutive naturals, for example, 72821 + ... + 74603.

Almost surely, 2131428496 is an apocalyptic number.

131428496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131428496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135384192).

131428496 is an abundant number, since it is smaller than the sum of its proper divisors (139339888).

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

131428496 is a wasteful number, since it uses less digits than its factorization.

131428496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 131428496 is about 11464.2267946862. The cubic root of 131428496 is about 508.4284520621.

The spelling of 131428496 in words is "one hundred thirty-one million, four hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 271 272 542 1084 1783 2168 3566 4336 4607 7132 9214 14264 18428 28528 30311 36856 60622 73712 121244 242488 483193 484976 966386 1932772 3865544 7731088 8214281 16428562 32857124 65714248 131428496