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129879864 = 233217293659
BaseRepresentation
bin1111011110111…
…00111100111000
3100001101120200100
413233130330320
5231222123424
620515435400
73134650332
oct757347470
9301346610
10129879864
116734a734
12375b5b60
1320ba5bba
141336c452
15b607dc9
hex7bdcf38

129879864 has 96 divisors (see below), whose sum is σ = 385398000. Its totient is φ = 39330816.

The previous prime is 129879853. The next prime is 129879887. The reversal of 129879864 is 468978921.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 129879864.

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, 33667 + ... + 37325.

Almost surely, 2129879864 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 129879864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192699000).

129879864 is an abundant number, since it is smaller than the sum of its proper divisors (255518136).

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

129879864 is a wasteful number, since it uses less digits than its factorization.

129879864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3710 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 129879864 is about 11396.4847211761. The cubic root of 129879864 is about 506.4236064855.

The spelling of 129879864 in words is "one hundred twenty-nine million, eight hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 408 493 522 612 696 986 1044 1224 1479 1972 2088 2958 3659 3944 4437 5916 7318 8874 10977 11832 14636 17748 21954 29272 32931 35496 43908 62203 65862 87816 106111 124406 131724 186609 212222 248812 263448 318333 373218 424444 497624 559827 636666 746436 848888 954999 1119654 1273332 1492872 1803887 1909998 2239308 2546664 3607774 3819996 4478616 5411661 7215548 7639992 10823322 14431096 16234983 21646644 32469966 43293288 64939932 129879864