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129115728 = 2433742697
BaseRepresentation
bin1111011001000…
…10011001010000
322222221202111000
413230202121100
5231023200403
620451222000
73125315460
oct754423120
9288852430
10129115728
1166978615
12372a7900
1320999151
141320dba0
15b5067a3
hex7b22650

129115728 has 80 divisors (see below), whose sum is σ = 423564160. Its totient is φ = 36889344.

The previous prime is 129115717. The next prime is 129115729. The reversal of 129115728 is 827511921.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 129115692 and 129115701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129115729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18325 + ... + 24372.

It is an arithmetic number, because the mean of its divisors is an integer number (5294552).

Almost surely, 2129115728 is an apocalyptic number.

129115728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129115728 is an abundant number, since it is smaller than the sum of its proper divisors (294448432).

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

129115728 is a wasteful number, since it uses less digits than its factorization.

129115728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42721 (or 42709 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 129115728 is about 11362.9101906158. The cubic root of 129115728 is about 505.4284870967.

The spelling of 129115728 in words is "one hundred twenty-nine million, one hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 42697 85394 128091 170788 256182 298879 341576 384273 512364 597758 683152 768546 896637 1024728 1152819 1195516 1537092 1793274 2049456 2305638 2391032 2689911 3074184 3586548 4611276 4782064 5379822 6148368 7173096 8069733 9222552 10759644 14346192 16139466 18445104 21519288 32278932 43038576 64557864 129115728