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130145064 = 23371745569
BaseRepresentation
bin1111100000111…
…01101100101000
3100001220001110120
413300131230220
5231304120224
620525243240
73140133450
oct760355450
9301801416
10130145064
1167510a05
1237703520
1320c6981a
14133dad60
15b65b779
hex7c1db28

130145064 has 64 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 34996224.

The previous prime is 130145053. The next prime is 130145077. The reversal of 130145064 is 460541031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19929 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2130145064 is an apocalyptic number.

130145064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130145064 is an abundant number, since it is smaller than the sum of its proper divisors (263579736).

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

130145064 is a wasteful number, since it uses less digits than its factorization.

130145064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45602 (or 45598 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130145064 is about 11408.1139545501. The cubic root of 130145064 is about 506.7680587328.

Adding to 130145064 its reverse (460541031), we get a palindrome (590686095).

The spelling of 130145064 in words is "one hundred thirty million, one hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 45569 91138 136707 182276 273414 318983 364552 546828 637966 774673 956949 1093656 1275932 1549346 1913898 2324019 2551864 3098692 3827796 4648038 5422711 6197384 7655592 9296076 10845422 16268133 18592152 21690844 32536266 43381688 65072532 130145064