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131410416 = 2432737717
BaseRepresentation
bin1111101010100…
…10100111110000
3100011021100012110
413311102213300
5232120113131
621012325320
73153653514
oct765224760
9304240173
10131410416
11681a5655
1238013840
13212c0757
141364a144
15b80b646
hex7d529f0

131410416 has 20 divisors (see below), whose sum is σ = 339477032. Its totient is φ = 43803456.

The previous prime is 131410381. The next prime is 131410469. The reversal of 131410416 is 614014131.

It is a junction number, because it is equal to n+sod(n) for n = 131410392 and 131410401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1368811 + ... + 1368906.

Almost surely, 2131410416 is an apocalyptic number.

131410416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131410416 is an abundant number, since it is smaller than the sum of its proper divisors (208066616).

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

131410416 is a wasteful number, since it uses less digits than its factorization.

131410416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737728 (or 2737722 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131410416 is about 11463.4382276872. The cubic root of 131410416 is about 508.4051369561.

Adding to 131410416 its reverse (614014131), we get a palindrome (745424547).

The spelling of 131410416 in words is "one hundred thirty-one million, four hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 2737717 5475434 8213151 10950868 16426302 21901736 32852604 43803472 65705208 131410416