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129305088 = 2932112551
BaseRepresentation
bin1111011010100…
…00101000000000
3100000022101020100
413231100220000
5231100230323
620455242400
73130034523
oct755205000
9300271210
10129305088
1166a97910
1237379400
1320a343b3
141325cbba
15b542943
hex7b50a00

129305088 has 120 divisors (see below), whose sum is σ = 407268576. Its totient is φ = 39168000.

The previous prime is 129305081. The next prime is 129305093. The reversal of 129305088 is 880503921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129305081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49413 + ... + 51963.

Almost surely, 2129305088 is an apocalyptic number.

129305088 is a gapful number since it is divisible by the number (18) 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 129305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203634288).

129305088 is an abundant number, since it is smaller than the sum of its proper divisors (277963488).

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

129305088 is a wasteful number, since it uses less digits than its factorization.

129305088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129305088 is about 11371.2395102733. The cubic root of 129305088 is about 505.6754520734.

The spelling of 129305088 in words is "one hundred twenty-nine million, three hundred five thousand, eighty-eight".

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 1056 1152 1408 1536 1584 2112 2304 2551 2816 3168 4224 4608 5102 5632 6336 7653 8448 10204 12672 15306 16896 20408 22959 25344 28061 30612 40816 45918 50688 56122 61224 81632 84183 91836 112244 122448 163264 168366 183672 224488 244896 252549 326528 336732 367344 448976 489792 505098 653056 673464 734688 897952 979584 1010196 1306112 1346928 1469376 1795904 1959168 2020392 2693856 2938752 3591808 3918336 4040784 5387712 5877504 7183616 8081568 10775424 11755008 14367232 16163136 21550848 32326272 43101696 64652544 129305088