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129659904 = 21032111279
BaseRepresentation
bin1111011101001…
…11010000000000
3100000222101221200
413232213100000
5231143104104
620511021200
73133043133
oct756472000
9300871850
10129659904
116720a450
123750a800
1320b29a4a
141331221a
15b5b2b39
hex7ba7400

129659904 has 132 divisors (see below), whose sum is σ = 408744960. Its totient is φ = 39260160.

The previous prime is 129659891. The next prime is 129659923. The reversal of 129659904 is 409956921.

It is a tau number, because it is divible by the number of its divisors (132).

It is a self number, because there is not a number n which added to its sum of digits gives 129659904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100737 + ... + 102015.

Almost surely, 2129659904 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 129659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204372480).

129659904 is an abundant number, since it is smaller than the sum of its proper divisors (279085056).

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

129659904 is a wasteful number, since it uses less digits than its factorization.

129659904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 129659904 is about 11386.8302876613. The cubic root of 129659904 is about 506.1375578350.

The spelling of 129659904 in words is "one hundred twenty-nine million, six hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1279 1408 1536 1584 2112 2304 2558 2816 3072 3168 3837 4224 4608 5116 5632 6336 7674 8448 9216 10232 11264 11511 12672 14069 15348 16896 20464 23022 25344 28138 30696 33792 40928 42207 46044 50688 56276 61392 81856 84414 92088 101376 112552 122784 126621 163712 168828 184176 225104 245568 253242 327424 337656 368352 450208 491136 506484 654848 675312 736704 900416 982272 1012968 1309696 1350624 1473408 1800832 1964544 2025936 2701248 2946816 3601664 3929088 4051872 5402496 5893632 7203328 8103744 10804992 11787264 14406656 16207488 21609984 32414976 43219968 64829952 129659904