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131915916 = 2232114361127
BaseRepresentation
bin1111101110011…
…10000010001100
3100012020000121200
413313032002030
5232232302131
621031225500
73161160336
oct767160214
9305200550
10131915916
1168510420
1238218290
1321439872
141373c456
15b8ab2e6
hex7dce08c

131915916 has 144 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 38102400.

The previous prime is 131915897. The next prime is 131915921. The reversal of 131915916 is 619519131.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038645 + ... + 1038771.

Almost surely, 2131915916 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 131915916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

131915916 is an abundant number, since it is smaller than the sum of its proper divisors (249393012).

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

131915916 is a wasteful number, since it uses less digits than its factorization.

131915916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its digits is 7290, while the sum is 36.

The square root of 131915916 is about 11485.4654237432. The cubic root of 131915916 is about 509.0562014410.

The spelling of 131915916 in words is "one hundred thirty-one million, nine hundred fifteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 61 66 86 99 122 127 129 132 172 183 198 244 254 258 366 381 387 396 473 508 516 549 671 732 762 774 946 1098 1143 1342 1397 1419 1524 1548 1892 2013 2196 2286 2623 2684 2794 2838 4026 4191 4257 4572 5246 5461 5588 5676 6039 7747 7869 8052 8382 8514 10492 10922 12078 12573 15494 15738 16383 16764 17028 21844 23241 23607 24156 25146 28853 30988 31476 32766 46482 47214 49149 50292 57706 60071 65532 69723 85217 86559 92964 94428 98298 115412 120142 139446 170434 173118 180213 196596 240284 255651 259677 278892 333121 340868 346236 360426 511302 519354 540639 666242 720852 766953 999363 1022604 1038708 1081278 1332484 1533906 1998726 2162556 2998089 3067812 3664331 3997452 5996178 7328662 10992993 11992356 14657324 21985986 32978979 43971972 65957958 131915916