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129657696 = 2537613163
BaseRepresentation
bin1111011101001…
…10101101100000
3100000222021220220
413232212231200
5231143021241
620511003040
73133033530
oct756465540
9300867826
10129657696
1167208823
1237509480
1320b28a3c
14133114c0
15b5b2166
hex7ba6b60

129657696 has 96 divisors (see below), whose sum is σ = 395474688. Its totient is φ = 36426240.

The previous prime is 129657679. The next prime is 129657707. The reversal of 129657696 is 696756921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1296576962 = 33622236264056832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39411 + ... + 42573.

It is an arithmetic number, because the mean of its divisors is an integer number (4119528).

Almost surely, 2129657696 is an apocalyptic number.

129657696 is a gapful number since it is divisible by the number (16) 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 129657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197737344).

129657696 is an abundant number, since it is smaller than the sum of its proper divisors (265816992).

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

129657696 is a wasteful number, since it uses less digits than its factorization.

129657696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3236 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 129657696 is about 11386.7333331382. The cubic root of 129657696 is about 506.1346847853.

The spelling of 129657696 in words is "one hundred twenty-nine million, six hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3163 3416 5124 5856 6326 6832 9489 10248 12652 13664 18978 20496 22141 25304 37956 40992 44282 50608 66423 75912 88564 101216 132846 151824 177128 192943 265692 303648 354256 385886 531384 578829 708512 771772 1062768 1157658 1350601 1543544 2125536 2315316 2701202 3087088 4051803 4630632 5402404 6174176 8103606 9261264 10804808 16207212 18522528 21609616 32414424 43219232 64828848 129657696