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129126996 = 223261127463
BaseRepresentation
bin1111011001001…
…01001001010100
322222222022221100
413230211021110
5231024030441
620451350100
73125363355
oct754451124
9288868840
10129126996
1166986029
12372b2330
13209a130b
1413213d2c
15b509cb6
hex7b25254

129126996 has 72 divisors (see below), whose sum is σ = 335089664. Its totient is φ = 41912640.

The previous prime is 129126989. The next prime is 129127007. The reversal of 129126996 is 699621921.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278661 + ... + 279123.

Almost surely, 2129126996 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 129126996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167544832).

129126996 is an abundant number, since it is smaller than the sum of its proper divisors (205962668).

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

129126996 is a wasteful number, since it uses less digits than its factorization.

129126996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 129126996 is about 11363.4060034833. The cubic root of 129126996 is about 505.4431896756.

The spelling of 129126996 in words is "one hundred twenty-nine million, one hundred twenty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 127 183 244 254 366 381 463 508 549 732 762 926 1098 1143 1389 1524 1852 2196 2286 2778 4167 4572 5556 7747 8334 15494 16668 23241 28243 30988 46482 56486 58801 69723 84729 92964 112972 117602 139446 169458 176403 235204 254187 278892 338916 352806 508374 529209 705612 1016748 1058418 2116836 3586861 7173722 10760583 14347444 21521166 32281749 43042332 64563498 129126996