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129708864 = 2634131191
BaseRepresentation
bin1111011101100…
…11001101000000
3100001001220010000
413232303031000
5231201140424
620512040000
73133335645
oct756631500
9301056100
10129708864
116724320a
1237533000
1320b4610c
1413325dcc
15b5c23c9
hex7bb3340

129708864 has 140 divisors (see below), whose sum is σ = 389461248. Its totient is φ = 42681600.

The previous prime is 129708863. The next prime is 129708881. The reversal of 129708864 is 468807921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129708863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679009 + ... + 679199.

Almost surely, 2129708864 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 129708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194730624).

129708864 is an abundant number, since it is smaller than the sum of its proper divisors (259752384).

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

129708864 is a wasteful number, since it uses less digits than its factorization.

129708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 129708864 is about 11388.9799367634. The cubic root of 129708864 is about 506.2012562123.

The spelling of 129708864 in words is "one hundred twenty-nine million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 191 192 216 262 288 324 382 393 432 524 573 576 648 764 786 864 1048 1146 1179 1296 1528 1572 1719 1728 2096 2292 2358 2592 3056 3144 3438 3537 4192 4584 4716 5157 5184 6112 6288 6876 7074 8384 9168 9432 10314 10611 12224 12576 13752 14148 15471 18336 18864 20628 21222 25021 25152 27504 28296 30942 36672 37728 41256 42444 50042 55008 56592 61884 75063 75456 82512 84888 100084 110016 113184 123768 150126 165024 169776 200168 225189 226368 247536 300252 330048 339552 400336 450378 495072 600504 675567 679104 800672 900756 990144 1201008 1351134 1601344 1801512 2026701 2402016 2702268 3603024 4053402 4804032 5404536 7206048 8106804 10809072 14412096 16213608 21618144 32427216 43236288 64854432 129708864