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129883104 = 253213113307
BaseRepresentation
bin1111011110111…
…01101111100000
3100001101202010100
413233131233200
5231222224404
620515502400
73134662641
oct757355740
9301352110
10129883104
116735210a
12375b7a00
1320ba7510
141336d6c8
15b608d39
hex7bddbe0

129883104 has 144 divisors (see below), whose sum is σ = 402594192. Its totient is φ = 39481344.

The previous prime is 129883099. The next prime is 129883157. The reversal of 129883104 is 401388921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 422919 + ... + 423225.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2129883104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129883104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

129883104 is an abundant number, since it is smaller than the sum of its proper divisors (272711088).

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

129883104 is a wasteful number, since it uses less digits than its factorization.

129883104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 129883104 is about 11396.6268693855. The cubic root of 129883104 is about 506.4278175535.

The spelling of 129883104 in words is "one hundred twenty-nine million, eight hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 113 117 144 156 208 226 234 288 307 312 339 416 452 468 614 624 678 904 921 936 1017 1228 1248 1356 1469 1808 1842 1872 2034 2456 2712 2763 2938 3616 3684 3744 3991 4068 4407 4912 5424 5526 5876 7368 7982 8136 8814 9824 10848 11052 11752 11973 13221 14736 15964 16272 17628 22104 23504 23946 26442 29472 31928 32544 34691 35256 35919 44208 47008 47892 52884 63856 69382 70512 71838 88416 95784 104073 105768 127712 138764 141024 143676 191568 208146 211536 277528 287352 312219 383136 416292 423072 450983 555056 574704 624438 832584 901966 1110112 1149408 1248876 1352949 1665168 1803932 2497752 2705898 3330336 3607864 4058847 4995504 5411796 7215728 8117694 9991008 10823592 14431456 16235388 21647184 32470776 43294368 64941552 129883104