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131710376 = 2374383659
BaseRepresentation
bin1111101100110…
…11110110101000
3100011211120200002
413312123312220
5232204213001
621023002132
73156343160
oct766336650
9304746602
10131710376
116838aa56
1238139348
1321397145
14136c75a0
15b86a46b
hex7d9bda8

131710376 has 64 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 54387648.

The previous prime is 131710331. The next prime is 131710391. The reversal of 131710376 is 673017131.

It is a super-2 number, since 2×1317103762 = 34695246292122752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199535 + ... + 200193.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2131710376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131710376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

131710376 is an abundant number, since it is smaller than the sum of its proper divisors (161012824).

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

131710376 is a wasteful number, since it uses less digits than its factorization.

131710376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 131710376 is about 11476.5141049014. The cubic root of 131710376 is about 508.7916748536.

The spelling of 131710376 in words is "one hundred thirty-one million, seven hundred ten thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 43 56 83 86 166 172 301 332 344 581 602 659 664 1162 1204 1318 2324 2408 2636 3569 4613 4648 5272 7138 9226 14276 18452 24983 28337 28552 36904 49966 54697 56674 99932 109394 113348 198359 199864 218788 226696 382879 396718 437576 765758 793436 1531516 1586872 2351971 3063032 4703942 9407884 16463797 18815768 32927594 65855188 131710376