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130152570 = 23531349401
BaseRepresentation
bin1111100000111…
…11100001111010
3100001220102202120
413300133201322
5231304340240
620525342110
73140164362
oct760374172
9301812676
10130152570
1167516609
1237707936
1320c70072
14133dd9a2
15b65dad0
hex7c1f87a

130152570 has 64 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 33408000.

The previous prime is 130152559. The next prime is 130152613. The reversal of 130152570 is 75251031.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130152570.

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, 324370 + ... + 324770.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2130152570 is an apocalyptic number.

130152570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130152570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

130152570 is an abundant number, since it is smaller than the sum of its proper divisors (194020230).

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

130152570 is a wasteful number, since it uses less digits than its factorization.

130152570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 130152570 is about 11408.4429261841. The cubic root of 130152570 is about 506.7778010101. Note that the first 3 decimals are identical.

The spelling of 130152570 in words is "one hundred thirty million, one hundred fifty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 349 401 465 698 802 930 1047 1203 1745 2005 2094 2406 3490 4010 5235 6015 10470 10819 12030 12431 21638 24862 32457 37293 54095 62155 64914 74586 108190 124310 139949 162285 186465 279898 324570 372930 419847 699745 839694 1399490 2099235 4198470 4338419 8676838 13015257 21692095 26030514 43384190 65076285 130152570