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131027416 = 23132714649
BaseRepresentation
bin1111100111101…
…01000111011000
3100010112212211021
413303311013120
5232020334131
621000212224
73150500062
oct763650730
9303485737
10131027416
1167a63923
1237a6a074
13211b8320
141358a732
15b782e11
hex7cf51d8

131027416 has 32 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 60238080.

The previous prime is 131027357. The next prime is 131027419. The reversal of 131027416 is 614720131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131027419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25860 + ... + 30508.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2131027416 is an apocalyptic number.

It is an amenable number.

131027416 is an abundant number, since it is smaller than the sum of its proper divisors (134580584).

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

131027416 is a wasteful number, since it uses less digits than its factorization.

131027416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 131027416 is about 11446.7207531240. The cubic root of 131027416 is about 507.9107351370.

Adding to 131027416 its reverse (614720131), we get a palindrome (745747547).

The spelling of 131027416 in words is "one hundred thirty-one million, twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 271 542 1084 2168 3523 4649 7046 9298 14092 18596 28184 37192 60437 120874 241748 483496 1259879 2519758 5039516 10079032 16378427 32756854 65513708 131027416