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129912720 = 24357211047
BaseRepresentation
bin1111011111001…
…00111110010000
3100001110020202020
413233210332100
5231224201340
620520251440
73135145200
oct757447620
9301406666
10129912720
1167372393
1237610b80
1320bb7b42
141337a400
15b6129d0
hex7be4f90

129912720 has 120 divisors (see below), whose sum is σ = 468523584. Its totient is φ = 29691648.

The previous prime is 129912703. The next prime is 129912751. The reversal of 129912720 is 27219921.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6237 + ... + 17283.

Almost surely, 2129912720 is an apocalyptic number.

129912720 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 129912720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234261792).

129912720 is an abundant number, since it is smaller than the sum of its proper divisors (338610864).

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

129912720 is a wasteful number, since it uses less digits than its factorization.

129912720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 129912720 is about 11397.9261271514. The cubic root of 129912720 is about 506.4663065896.

The spelling of 129912720 in words is "one hundred twenty-nine million, nine hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11047 11760 22094 33141 44188 55235 66282 77329 88376 110470 132564 154658 165705 176752 220940 231987 265128 309316 331410 386645 441880 463974 530256 541303 618632 662820 773290 883760 927948 1082606 1159935 1237264 1325640 1546580 1623909 1855896 2165212 2319870 2651280 2706515 3093160 3247818 3711792 4330424 4639740 5413030 6186320 6495636 8119545 8660848 9279480 10826060 12991272 16239090 18558960 21652120 25982544 32478180 43304240 64956360 129912720