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129830753 = 13611011621
BaseRepresentation
bin1111011110100…
…00111101100001
3100001022002022102
413233100331201
5231214041003
620514420145
73134354213
oct757207541
9301262272
10129830753
1167316848
1237591655
1320b89740
14133585b3
15b5e8588
hex7bd0f61

129830753 has 16 divisors (see below), whose sum is σ = 143605392. Its totient is φ = 116640000.

The previous prime is 129830749. The next prime is 129830773. The reversal of 129830753 is 357038921.

It can be written as a sum of positive squares in 8 ways, for example, as 508369 + 129322384 = 713^2 + 11372^2 .

It is a cyclic number.

It is not a de Polignac number, because 129830753 - 22 = 129830749 is a prime.

It is a super-3 number, since 3×1298307533 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129830713) 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, 79283 + ... + 80903.

It is an arithmetic number, because the mean of its divisors is an integer number (8975337).

Almost surely, 2129830753 is an apocalyptic number.

129830753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

129830753 is a deficient number, since it is larger than the sum of its proper divisors (13774639).

129830753 is a wasteful number, since it uses less digits than its factorization.

129830753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 129830753 is about 11394.3298618216. The cubic root of 129830753 is about 506.3597677337.

The spelling of 129830753 in words is "one hundred twenty-nine million, eight hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 13 61 101 793 1313 1621 6161 21073 80093 98881 163721 1285453 2128373 9986981 129830753