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130752984 = 2331719101167
BaseRepresentation
bin1111100101100…
…10000111011000
3100010000221101010
413302302013120
5231433043414
620550253520
73145245015
oct762620730
9303027333
10130752984
116789671a
12379572a0
132112043b
141351870c
15b72b959
hex7cb21d8

130752984 has 128 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 38246400.

The previous prime is 130752949. The next prime is 130752997. The reversal of 130752984 is 489257031.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782869 + ... + 783035.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2130752984 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 130752984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

130752984 is an abundant number, since it is smaller than the sum of its proper divisors (239384616).

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

130752984 is a wasteful number, since it uses less digits than its factorization.

130752984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 130752984 is about 11434.7271064945. The cubic root of 130752984 is about 507.5558872990. Note that the first 3 decimals are identical.

The spelling of 130752984 in words is "one hundred thirty million, seven hundred fifty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 101 102 114 136 152 167 202 204 228 303 323 334 404 408 456 501 606 646 668 808 969 1002 1212 1292 1336 1717 1919 1938 2004 2424 2584 2839 3173 3434 3838 3876 4008 5151 5678 5757 6346 6868 7676 7752 8517 9519 10302 11356 11514 12692 13736 15352 16867 17034 19038 20604 22712 23028 25384 32623 33734 34068 38076 41208 46056 50601 53941 65246 67468 68136 76152 97869 101202 107882 130492 134936 161823 195738 202404 215764 260984 286739 320473 323646 391476 404808 431528 573478 640946 647292 782952 860217 961419 1146956 1281892 1294584 1720434 1922838 2293912 2563784 3440868 3845676 5448041 6881736 7691352 10896082 16344123 21792164 32688246 43584328 65376492 130752984