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129981900 = 223522831531
BaseRepresentation
bin1111011111101…
…01110111001100
3100001120202122110
413233311313030
5231233410100
620521544020
73135553656
oct757656714
9301522573
10129981900
116740a364
1237645010
1320c10489
14133976d6
15b628250
hex7bf5dcc

129981900 has 72 divisors (see below), whose sum is σ = 377656384. Its totient is φ = 34516800.

The previous prime is 129981899. The next prime is 129981913. The reversal of 129981900 is 9189921.

It is a happy number.

It is a super-2 number, since 2×1299819002 = 33790588655220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84135 + ... + 85665.

Almost surely, 2129981900 is an apocalyptic number.

129981900 is a gapful number since it is divisible by the number (10) 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 129981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188828192).

129981900 is an abundant number, since it is smaller than the sum of its proper divisors (247674484).

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

129981900 is a wasteful number, since it uses less digits than its factorization.

129981900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 129981900 is about 11400.9604858538. The cubic root of 129981900 is about 506.5561903250.

The spelling of 129981900 in words is "one hundred twenty-nine million, nine hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1531 1698 2830 3062 3396 4245 4593 5660 6124 7075 7655 8490 9186 14150 15310 16980 18372 21225 22965 28300 30620 38275 42450 45930 76550 84900 91860 114825 153100 229650 433273 459300 866546 1299819 1733092 2166365 2599638 4332730 5199276 6499095 8665460 10831825 12998190 21663650 25996380 32495475 43327300 64990950 129981900