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129939180 = 223572193229
BaseRepresentation
bin1111011111010…
…11011011101100
3100001111121001020
413233223123230
5231231023210
620521014140
73135315300
oct757533354
9301447036
10129939180
1167390258
1237624350
1320bc6bb7
1413385d00
15b61a770
hex7beb6ec

129939180 has 144 divisors (see below), whose sum is σ = 427281120. Its totient is φ = 29417472.

The previous prime is 129939151. The next prime is 129939223. The reversal of 129939180 is 81939921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 567306 + ... + 567534.

It is an arithmetic number, because the mean of its divisors is an integer number (2967230).

Almost surely, 2129939180 is an apocalyptic number.

129939180 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 129939180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213640560).

129939180 is an abundant number, since it is smaller than the sum of its proper divisors (297341940).

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

129939180 is a wasteful number, since it uses less digits than its factorization.

129939180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 129939180 is about 11399.0868055296. The cubic root of 129939180 is about 506.5006891318.

The spelling of 129939180 in words is "one hundred twenty-nine million, nine hundred thirty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 193 196 210 229 245 294 386 420 458 490 579 588 687 735 772 916 965 980 1145 1158 1351 1374 1470 1603 1930 2290 2316 2702 2748 2895 2940 3206 3435 3860 4053 4580 4809 5404 5790 6412 6755 6870 8015 8106 9457 9618 11221 11580 13510 13740 16030 16212 18914 19236 20265 22442 24045 27020 28371 32060 33663 37828 40530 44197 44884 47285 48090 56105 56742 67326 81060 88394 94570 96180 112210 113484 132591 134652 141855 168315 176788 189140 220985 224420 265182 283710 309379 336630 441970 530364 567420 618758 662955 673260 883940 928137 1237516 1325910 1546895 1856274 2165653 2651820 3093790 3712548 4331306 4640685 6187580 6496959 8662612 9281370 10828265 12993918 18562740 21656530 25987836 32484795 43313060 64969590 129939180