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131746095 = 3551319439
BaseRepresentation
bin1111101101001…
…00100100101111
3100011220101200000
413312210210233
5232211333340
621023435343
73156552255
oct766444457
9304811600
10131746095
1168404878
1238155b53
13213aa490
14136d65d5
15b875d30
hex7da492f

131746095 has 96 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 61305984.

The previous prime is 131746081. The next prime is 131746127. The reversal of 131746095 is 590647131.

It is not a de Polignac number, because 131746095 - 29 = 131745583 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299886 + ... + 300324.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2131746095 is an apocalyptic number.

131746095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131746095 is an abundant number, since it is smaller than the sum of its proper divisors (137322705).

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

131746095 is a wasteful number, since it uses less digits than its factorization.

131746095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 131746095 is about 11478.0701775168. The cubic root of 131746095 is about 508.8376643643.

The spelling of 131746095 in words is "one hundred thirty-one million, seven hundred forty-six thousand, ninety-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 243 247 285 351 405 439 513 585 741 855 1053 1215 1235 1317 1539 1755 2195 2223 2565 3159 3705 3951 4617 5265 5707 6585 6669 7695 8341 11115 11853 15795 17121 19755 20007 23085 25023 28535 33345 35559 41705 51363 59265 60021 75069 85605 100035 106677 108433 125115 154089 177795 225207 256815 300105 325299 375345 462267 533385 542165 675621 770445 975897 1126035 1386801 1626495 2026863 2311335 2927691 3378105 4879485 6934005 8783073 10134315 14638455 26349219 43915365 131746095