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129492480 = 2935131297
BaseRepresentation
bin1111011011111…
…10011000000000
3100000122220021210
413231332120000
5231122224410
620503250120
73131445045
oct755763000
9300586253
10129492480
1167105687
1237449940
1320a9b790
14132ab1cc
15b57d220
hex7b7e600

129492480 has 160 divisors (see below), whose sum is σ = 446158944. Its totient is φ = 31850496.

The previous prime is 129492457. The next prime is 129492509. The reversal of 129492480 is 84294921.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99192 + ... + 100488.

Almost surely, 2129492480 is an apocalyptic number.

129492480 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 129492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223079472).

129492480 is an abundant number, since it is smaller than the sum of its proper divisors (316666464).

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

129492480 is a wasteful number, since it uses less digits than its factorization.

129492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 129492480 is about 11379.4762621133. The cubic root of 129492480 is about 505.9196131158.

The spelling of 129492480 in words is "one hundred twenty-nine million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1297 1536 1560 1664 1920 2080 2496 2560 2594 3120 3328 3840 3891 4160 4992 5188 6240 6485 6656 7680 7782 8320 9984 10376 12480 12970 15564 16640 16861 19455 19968 20752 24960 25940 31128 33280 33722 38910 41504 49920 50583 51880 62256 67444 77820 83008 84305 99840 101166 103760 124512 134888 155640 166016 168610 202332 207520 249024 252915 269776 311280 332032 337220 404664 415040 498048 505830 539552 622560 664064 674440 809328 830080 996096 1011660 1079104 1245120 1348880 1618656 1660160 1992192 2023320 2158208 2490240 2697760 3237312 3320320 4046640 4316416 4980480 5395520 6474624 8093280 8632832 9960960 10791040 12949248 16186560 21582080 25898496 32373120 43164160 64746240 129492480