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131076738 = 23313253271
BaseRepresentation
bin1111101000000…
…01001010000010
3100010122101111000
413310001022002
5232023423423
621001232430
73151063632
oct764011202
9303571430
10131076738
1167a97991
1237a92716
1321204900
14135a06c2
15b792843
hex7d01282

131076738 has 96 divisors (see below), whose sum is σ = 322548480. Its totient is φ = 39424320.

The previous prime is 131076733. The next prime is 131076769. The reversal of 131076738 is 837670131.

It is a super-2 number, since 2×1310767382 = 34362222489441288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131076731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483543 + ... + 483813.

It is an arithmetic number, because the mean of its divisors is an integer number (3359880).

Almost surely, 2131076738 is an apocalyptic number.

131076738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131076738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161274240).

131076738 is an abundant number, since it is smaller than the sum of its proper divisors (191471742).

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

131076738 is a wasteful number, since it uses less digits than its factorization.

131076738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 131076738 is about 11448.8749665633. The cubic root of 131076738 is about 507.9744572480.

The spelling of 131076738 in words is "one hundred thirty-one million, seventy-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 169 234 271 318 338 351 477 507 542 689 702 813 954 1014 1378 1431 1521 1626 2067 2439 2862 3042 3523 4134 4563 4878 6201 7046 7317 8957 9126 10569 12402 14363 14634 17914 18603 21138 26871 28726 31707 37206 43089 45799 53742 63414 80613 86178 91598 95121 129267 137397 161226 186719 190242 241839 258534 274794 373438 387801 412191 483678 560157 775602 824382 1120314 1236573 1680471 2427347 2473146 3360942 4854694 5041413 7282041 10082826 14564082 21846123 43692246 65538369 131076738