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129827334 = 237131771197
BaseRepresentation
bin1111011110100…
…00001000000110
3100001021220121210
413233100020012
5231213433314
620514352250
73134341230
oct757201006
9301256553
10129827334
116731421a
123758b686
1320b88010
1413357250
15b5e7559
hex7bd0206

129827334 has 128 divisors (see below), whose sum is σ = 344881152. Its totient is φ = 31610880.

The previous prime is 129827333. The next prime is 129827417. The reversal of 129827334 is 433728921.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129827292 and 129827301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129827333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658924 + ... + 659120.

It is an arithmetic number, because the mean of its divisors is an integer number (2694384).

Almost surely, 2129827334 is an apocalyptic number.

129827334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129827334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172440576).

129827334 is an abundant number, since it is smaller than the sum of its proper divisors (215053818).

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

129827334 is a wasteful number, since it uses less digits than its factorization.

129827334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

The product of its digits is 72576, while the sum is 39.

The square root of 129827334 is about 11394.1798300711. The cubic root of 129827334 is about 506.3553228206.

The spelling of 129827334 in words is "one hundred twenty-nine million, eight hundred twenty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 71 78 91 102 119 142 182 197 213 221 238 273 357 394 426 442 497 546 591 663 714 923 994 1182 1207 1326 1379 1491 1547 1846 2414 2561 2758 2769 2982 3094 3349 3621 4137 4641 5122 5538 6461 6698 7242 7683 8274 8449 9282 10047 12922 13987 15366 15691 16898 17927 19383 20094 23443 25347 27974 31382 35854 38766 41961 43537 46886 47073 50694 53781 70329 83922 87074 94146 97909 107562 109837 130611 140658 181831 195818 219674 237779 261222 293727 304759 329511 363662 475558 545493 587454 609518 659022 713337 914277 1090986 1272817 1426674 1664453 1828554 2545634 3091127 3328906 3818451 4993359 6182254 7636902 9273381 9986718 18546762 21637889 43275778 64913667 129827334