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130623220 = 225721310253
BaseRepresentation
bin1111100100100…
…10011011110100
3100002210100101001
413302102123310
5231414420340
620543413044
73144164500
oct762223364
9302710331
10130623220
1167808182
12378b4184
13210a6360
14134c3300
15b70329a
hex7c926f4

130623220 has 72 divisors (see below), whose sum is σ = 343673064. Its totient is φ = 41336064.

The previous prime is 130623211. The next prime is 130623239. The reversal of 130623220 is 22326031.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 129549924 = 1036^2 + 11382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614 + ... + 17866.

It is an arithmetic number, because the mean of its divisors is an integer number (4773237).

Almost surely, 2130623220 is an apocalyptic number.

130623220 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 130623220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171836532).

130623220 is an abundant number, since it is smaller than the sum of its proper divisors (213049844).

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

130623220 is a wasteful number, since it uses less digits than its factorization.

130623220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 130623220 is about 11429.0515791994. The cubic root of 130623220 is about 507.3879261041.

Adding to 130623220 its reverse (22326031), we get a palindrome (152949251).

The spelling of 130623220 in words is "one hundred thirty million, six hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 10253 12740 20506 41012 51265 71771 102530 133289 143542 205060 266578 287084 358855 502397 533156 666445 717710 933023 1004794 1332890 1435420 1866046 2009588 2511985 2665780 3732092 4665115 5023970 6531161 9330230 10047940 13062322 18660460 26124644 32655805 65311610 130623220