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130145070 = 23511419619
BaseRepresentation
bin1111100000111…
…01101100101110
3100001220001110210
413300131230232
5231304120240
620525243250
73140133456
oct760355456
9301801423
10130145070
1167510a10
1237703526
1320c69823
14133dad66
15b65b780
hex7c1db2e

130145070 has 64 divisors (see below), whose sum is σ = 349090560. Its totient is φ = 30777600.

The previous prime is 130145053. The next prime is 130145077. The reversal of 130145070 is 70541031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130145077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8721 + ... + 18339.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2130145070 is an apocalyptic number.

130145070 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 130145070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

130145070 is an abundant number, since it is smaller than the sum of its proper divisors (218945490).

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

130145070 is a wasteful number, since it uses less digits than its factorization.

130145070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 130145070 is about 11408.1142175208. The cubic root of 130145070 is about 506.7680665205.

The spelling of 130145070 in words is "one hundred thirty million, one hundred forty-five thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 9619 13530 19238 28857 48095 57714 96190 105809 144285 211618 288570 317427 394379 529045 634854 788758 1058090 1183137 1587135 1971895 2366274 3174270 3943790 4338169 5915685 8676338 11831370 13014507 21690845 26029014 43381690 65072535 130145070