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131866644 = 223721321327
BaseRepresentation
bin1111101110000…
…10000000010100
3100012010112000210
413313002000110
5232224213034
621030205420
73160563600
oct767020024
9305115023
10131866644
11684873a8
12381b3870
1321420300
1413728500
15b89b8e9
hex7dc2014

131866644 has 108 divisors (see below), whose sum is σ = 387866304. Its totient is φ = 34751808.

The previous prime is 131866627. The next prime is 131866649. The reversal of 131866644 is 446668131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131866649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98709 + ... + 100035.

Almost surely, 2131866644 is an apocalyptic number.

131866644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131866644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193933152).

131866644 is an abundant number, since it is smaller than the sum of its proper divisors (255999660).

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

131866644 is a wasteful number, since it uses less digits than its factorization.

131866644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1352 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 131866644 is about 11483.3202515649. The cubic root of 131866644 is about 508.9928142436.

The spelling of 131866644 in words is "one hundred thirty-one million, eight hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 1014 1092 1183 1274 1327 1911 2028 2366 2548 2654 3549 3822 3981 4732 5308 7098 7644 7962 8281 9289 14196 15924 16562 17251 18578 24843 27867 33124 34502 37156 49686 51753 55734 65023 69004 99372 103506 111468 120757 130046 195069 207012 224263 241514 260092 362271 390138 448526 483028 672789 724542 780276 845299 897052 1345578 1449084 1569841 1690598 2535897 2691156 3139682 3381196 4709523 5071794 6279364 9419046 10143588 10988887 18838092 21977774 32966661 43955548 65933322 131866644