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129990960 = 24335115471
BaseRepresentation
bin1111011111110…
…00000100110000
3100001121020002000
413233320010300
5231234202320
620522054000
73135622251
oct757700460
9301536060
10129990960
1167416150
123764a300
1320c14638
141339ab28
15b62ac90
hex7bf8130

129990960 has 160 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 31507200.

The previous prime is 129990923. The next prime is 129991003. The reversal of 129990960 is 69099921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21025 + ... + 26495.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2129990960 is an apocalyptic number.

129990960 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 129990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

129990960 is an abundant number, since it is smaller than the sum of its proper divisors (358549200).

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

129990960 is a wasteful number, since it uses less digits than its factorization.

129990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 129990960 is about 11401.3578138746. The cubic root of 129990960 is about 506.5679593802.

The spelling of 129990960 in words is "one hundred twenty-nine million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5471 5940 7920 10942 11880 16413 21884 23760 27355 32826 43768 49239 54710 60181 65652 82065 87536 98478 109420 120362 131304 147717 164130 180543 196956 218840 240724 246195 262608 295434 300905 328260 361086 393912 437680 481448 492390 541629 590868 601810 656520 722172 738585 787824 902715 962896 984780 1083258 1181736 1203620 1313040 1444344 1477170 1624887 1805430 1969560 2166516 2363472 2407240 2708145 2888688 2954340 3249774 3610860 3939120 4333032 4814480 5416290 5908680 6499548 7221720 8124435 8666064 10832580 11817360 12999096 14443440 16248870 21665160 25998192 32497740 43330320 64995480 129990960