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131413416 = 2339076037
BaseRepresentation
bin1111101010100…
…11010110101000
3100011021111022120
413311103112220
5232120212131
621012351240
73153665331
oct765232650
9304244276
10131413416
11681a7932
1238015520
13212c1c24
141364b288
15b80c496
hex7d535a8

131413416 has 32 divisors (see below), whose sum is σ = 328950240. Its totient is φ = 43748928.

The previous prime is 131413391. The next prime is 131413439. The reversal of 131413416 is 614314131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18750 + ... + 24786.

It is an arithmetic number, because the mean of its divisors is an integer number (10279695).

Almost surely, 2131413416 is an apocalyptic number.

It is an amenable number.

131413416 is an abundant number, since it is smaller than the sum of its proper divisors (197536824).

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

131413416 is a wasteful number, since it uses less digits than its factorization.

131413416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6949 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 131413416 is about 11463.5690777349. The cubic root of 131413416 is about 508.4090057610.

Adding to 131413416 its reverse (614314131), we get a palindrome (745727547).

The spelling of 131413416 in words is "one hundred thirty-one million, four hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 907 1814 2721 3628 5442 6037 7256 10884 12074 18111 21768 24148 36222 48296 72444 144888 5475559 10951118 16426677 21902236 32853354 43804472 65706708 131413416