Search a number
-
+
130553610 = 235111013917
BaseRepresentation
bin1111100100000…
…01011100001010
3100002122210212220
413302001130022
5231410203420
620542114510
73143454525
oct762013412
9302583786
10130553610
116776a950
123787ba36
1321080775
14134a5bbc
15b6dc840
hex7c8170a

130553610 has 64 divisors (see below), whose sum is σ = 345285504. Its totient is φ = 31328000.

The previous prime is 130553609. The next prime is 130553623. The reversal of 130553610 is 16355031.

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, 31372 + ... + 35288.

It is an arithmetic number, because the mean of its divisors is an integer number (5395086).

Almost surely, 2130553610 is an apocalyptic number.

130553610 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 130553610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172642752).

130553610 is an abundant number, since it is smaller than the sum of its proper divisors (214731894).

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

130553610 is a wasteful number, since it uses less digits than its factorization.

130553610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 130553610 is about 11426.0058638179. The cubic root of 130553610 is about 507.2977799332.

The spelling of 130553610 in words is "one hundred thirty million, five hundred fifty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 3917 5555 6666 7834 11110 11751 16665 19585 23502 33330 39170 43087 58755 86174 117510 129261 215435 258522 395617 430870 646305 791234 1186851 1292610 1978085 2373702 3956170 4351787 5934255 8703574 11868510 13055361 21758935 26110722 43517870 65276805 130553610