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130545220 = 225134871031
BaseRepresentation
bin1111100011111…
…11011001000100
3100002122101101011
413301333121010
5231404421340
620542012004
73143421211
oct761773104
9302571334
10130545220
1167764613
1237877004
13210799c0
14134a2b08
15b6da0ea
hex7c7f644

130545220 has 48 divisors (see below), whose sum is σ = 296126208. Its totient is φ = 48055680.

The previous prime is 130545169. The next prime is 130545251. The reversal of 130545220 is 22545031.

It is a junction number, because it is equal to n+sod(n) for n = 130545191 and 130545200.

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, 126105 + ... + 127135.

It is an arithmetic number, because the mean of its divisors is an integer number (6169296).

Almost surely, 2130545220 is an apocalyptic number.

130545220 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 130545220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148063104).

130545220 is an abundant number, since it is smaller than the sum of its proper divisors (165580988).

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

130545220 is a wasteful number, since it uses less digits than its factorization.

130545220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 130545220 is about 11425.6387129998. The cubic root of 130545220 is about 507.2869125724.

The spelling of 130545220 in words is "one hundred thirty million, five hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 487 974 1031 1948 2062 2435 4124 4870 5155 6331 9740 10310 12662 13403 20620 25324 26806 31655 53612 63310 67015 126620 134030 268060 502097 1004194 2008388 2510485 5020970 6527261 10041940 13054522 26109044 32636305 65272610 130545220