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130460220 = 22345117321
BaseRepresentation
bin1111100011010…
…10101000111100
3100002111001210000
413301222220330
5231344211340
620540114300
73142615332
oct761525074
9302431700
10130460220
1167706770
1237835990
132104a0c7
141347db52
15b6bed30
hex7c6aa3c

130460220 has 120 divisors (see below), whose sum is σ = 446524848. Its totient is φ = 31622400.

The previous prime is 130460219. The next prime is 130460243. The reversal of 130460220 is 22064031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130460193 and 130460202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14160 + ... + 21480.

Almost surely, 2130460220 is an apocalyptic number.

130460220 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 130460220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223262424).

130460220 is an abundant number, since it is smaller than the sum of its proper divisors (316064628).

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

130460220 is a wasteful number, since it uses less digits than its factorization.

130460220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130460220 is about 11421.9184027903. The cubic root of 130460220 is about 507.1767878980.

The spelling of 130460220 in words is "one hundred thirty million, four hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 7321 8910 14642 17820 21963 29284 36605 43926 65889 73210 80531 87852 109815 131778 146420 161062 197667 219630 241593 263556 322124 329445 395334 402655 439260 483186 593001 658890 724779 790668 805310 966372 988335 1186002 1207965 1317780 1449558 1610620 1976670 2174337 2372004 2415930 2899116 2965005 3623895 3953340 4348674 4831860 5930010 6523011 7247790 8697348 10871685 11860020 13046022 14495580 21743370 26092044 32615055 43486740 65230110 130460220