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130066420 = 225113111901
BaseRepresentation
bin1111100000010…
…10011111110100
3100001202001120211
413300022133310
5231244111140
620523435204
73136355251
oct760123764
9301661524
10130066420
1167467910
1237685b04
1320c3caa3
14133ba428
15b6432ea
hex7c0a7f4

130066420 has 48 divisors (see below), whose sum is σ = 299085696. Its totient is φ = 47120000.

The previous prime is 130066411. The next prime is 130066451. The reversal of 130066420 is 24660031.

It is a super-2 number, since 2×1300664202 = 33834547223232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 130066391 and 130066400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67470 + ... + 69370.

It is an arithmetic number, because the mean of its divisors is an integer number (6230952).

Almost surely, 2130066420 is an apocalyptic number.

130066420 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 130066420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149542848).

130066420 is an abundant number, since it is smaller than the sum of its proper divisors (169019276).

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

130066420 is a wasteful number, since it uses less digits than its factorization.

130066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 130066420 is about 11404.6665887259. Note that the first 3 decimals coincide. The cubic root of 130066420 is about 506.6659616411.

The spelling of 130066420 in words is "one hundred thirty million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 1901 3110 3421 3802 6220 6842 7604 9505 13684 17105 19010 20911 34210 38020 41822 68420 83644 104555 209110 418220 591211 1182422 2364844 2956055 5912110 6503321 11824220 13006642 26013284 32516605 65033210 130066420