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129128496 = 24372271693
BaseRepresentation
bin1111011001001…
…01100000110000
322222222101222220
413230211200300
5231024102441
620451401040
73125400630
oct754454060
9288871886
10129128496
1166987172
12372b3180
13209a1bc3
14132146c0
15b50a466
hex7b25830

129128496 has 80 divisors (see below), whose sum is σ = 383142144. Its totient is φ = 36709632.

The previous prime is 129128491. The next prime is 129128507. The reversal of 129128496 is 694821921.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (129128491) 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, 75426 + ... + 77118.

Almost surely, 2129128496 is an apocalyptic number.

129128496 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 129128496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191571072).

129128496 is an abundant number, since it is smaller than the sum of its proper divisors (254013648).

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

129128496 is a wasteful number, since it uses less digits than its factorization.

129128496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 129128496 is about 11363.4720046296. The cubic root of 129128496 is about 505.4451468234.

The spelling of 129128496 in words is "one hundred twenty-nine million, one hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 681 908 1362 1589 1693 1816 2724 3178 3386 3632 4767 5079 5448 6356 6772 9534 10158 10896 11851 12712 13544 19068 20316 23702 25424 27088 35553 38136 40632 47404 71106 76272 81264 94808 142212 189616 284424 384311 568848 768622 1152933 1537244 2305866 2690177 3074488 4611732 5380354 6148976 8070531 9223464 10760708 16141062 18446928 21521416 32282124 43042832 64564248 129128496