Search a number
-
+
130167660 = 223572910687
BaseRepresentation
bin1111100001000…
…11001101101100
3100001221012110110
413300203031230
5231310331120
620525540020
73140256360
oct760431554
9301835413
10130167660
1167526987
1237714610
1320c76bac
14134052a0
15b6632e0
hex7c2336c

130167660 has 96 divisors (see below), whose sum is σ = 430940160. Its totient is φ = 28723968.

The previous prime is 130167659. The next prime is 130167671. The reversal of 130167660 is 66761031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6837 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (4488960).

Almost surely, 2130167660 is an apocalyptic number.

130167660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130167660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215470080).

130167660 is an abundant number, since it is smaller than the sum of its proper divisors (300772500).

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

130167660 is a wasteful number, since it uses less digits than its factorization.

130167660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 130167660 is about 11409.1042593185. The cubic root of 130167660 is about 506.7973856701.

The spelling of 130167660 in words is "one hundred thirty million, one hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 10687 12180 21374 32061 42748 53435 64122 74809 106870 128244 149618 160305 213740 224427 299236 309923 320610 374045 448854 619846 641220 748090 897708 929769 1122135 1239692 1496180 1549615 1859538 2169461 2244270 3099230 3719076 4338922 4488540 4648845 6198460 6508383 8677844 9297690 10847305 13016766 18595380 21694610 26033532 32541915 43389220 65083830 130167660