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130023320 = 23572331993
BaseRepresentation
bin1111011111111…
…11111110011000
3100001122212110112
413233333332120
5231241221240
620522503452
73136115510
oct757777630
9301585415
10130023320
1167438499
1237664b88
1320c2629b
14133a8840
15b635665
hex7bfff98

130023320 has 64 divisors (see below), whose sum is σ = 335949120. Its totient is φ = 44365824.

The previous prime is 130023317. The next prime is 130023323. The reversal of 130023320 is 23320031.

It is an interprime number because it is at equal distance from previous prime (130023317) and next prime (130023323).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130023295 and 130023304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64244 + ... + 66236.

It is an arithmetic number, because the mean of its divisors is an integer number (5249205).

Almost surely, 2130023320 is an apocalyptic number.

130023320 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 130023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167974560).

130023320 is an abundant number, since it is smaller than the sum of its proper divisors (205925800).

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

130023320 is a wasteful number, since it uses less digits than its factorization.

130023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130023320 is about 11402.7768547841. The cubic root of 130023320 is about 506.6099909674.

Adding to 130023320 its reverse (23320031), we get a palindrome (153343351).

The spelling of 130023320 in words is "one hundred thirty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 1993 2330 3262 3986 4660 6524 7972 8155 9320 9965 13048 13951 15944 16310 19930 27902 32620 39860 55804 65240 69755 79720 111608 139510 279020 464369 558040 928738 1857476 2321845 3250583 3714952 4643690 6501166 9287380 13002332 16252915 18574760 26004664 32505830 65011660 130023320