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130538064 = 24323317373
BaseRepresentation
bin1111100011111…
…01101001010000
3100002122000120010
413301331221100
5231404204224
620541514520
73143361306
oct761755120
9302560503
10130538064
116775a1a8
1237872a40
1321076677
14134a0276
15b6d7e29
hex7c7da50

130538064 has 80 divisors (see below), whose sum is σ = 353941632. Its totient is φ = 41378304.

The previous prime is 130538063. The next prime is 130538071. The reversal of 130538064 is 460835031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130538063) 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, 349782 + ... + 350154.

Almost surely, 2130538064 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 130538064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176970816).

130538064 is an abundant number, since it is smaller than the sum of its proper divisors (223403568).

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

130538064 is a wasteful number, since it uses less digits than its factorization.

130538064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130538064 is about 11425.3255533486. The cubic root of 130538064 is about 507.2776432135.

The spelling of 130538064 in words is "one hundred thirty million, five hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 317 368 373 552 634 746 951 1104 1119 1268 1492 1902 2238 2536 2984 3804 4476 5072 5968 7291 7608 8579 8952 14582 15216 17158 17904 21873 25737 29164 34316 43746 51474 58328 68632 87492 102948 116656 118241 137264 174984 205896 236482 349968 354723 411792 472964 709446 945928 1418892 1891856 2719543 2837784 5439086 5675568 8158629 10878172 16317258 21756344 32634516 43512688 65269032 130538064