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130130420 = 22571019203
BaseRepresentation
bin1111100000110…
…10000111110100
3100001212022101012
413300122013310
5231303133140
620525051352
73140042660
oct760320764
9301768335
10130130420
1167500a02
12376b6b58
1320c62c64
14133d58a0
15b657265
hex7c1a1f4

130130420 has 48 divisors (see below), whose sum is σ = 315439488. Its totient is φ = 44169600.

The previous prime is 130130419. The next prime is 130130437. The reversal of 130130420 is 24031031.

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 = 130130395 and 130130404.

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, 9539 + ... + 18741.

It is an arithmetic number, because the mean of its divisors is an integer number (6571656).

Almost surely, 2130130420 is an apocalyptic number.

130130420 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 130130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157719744).

130130420 is an abundant number, since it is smaller than the sum of its proper divisors (185309068).

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

130130420 is a wasteful number, since it uses less digits than its factorization.

130130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130130420 is about 11407.4721126111. The cubic root of 130130420 is about 506.7490507387.

Adding to 130130420 its reverse (24031031), we get a palindrome (154161451).

The spelling of 130130420 in words is "one hundred thirty million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 9203 14140 18406 36812 46015 64421 92030 128842 184060 257684 322105 644210 929503 1288420 1859006 3718012 4647515 6506521 9295030 13013042 18590060 26026084 32532605 65065210 130130420