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130355120 = 2457232777
BaseRepresentation
bin1111100010100…
…00111110110000
3100002021201121102
413301100332300
5231332330440
620533543532
73142000040
oct761207660
9302251542
10130355120
1167644805
12377a4ba8
132101130c
1413453720
15b69db15
hex7c50fb0

130355120 has 40 divisors (see below), whose sum is σ = 346373664. Its totient is φ = 44692992.

The previous prime is 130355119. The next prime is 130355123. The reversal of 130355120 is 21553031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130355092 and 130355101.

It is not an unprimeable number, because it can be changed into a prime (130355123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115829 + ... + 116948.

Almost surely, 2130355120 is an apocalyptic number.

130355120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130355120 is an abundant number, since it is smaller than the sum of its proper divisors (216018544).

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

130355120 is a wasteful number, since it uses less digits than its factorization.

130355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232797 (or 232791 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 130355120 is about 11417.3166724936. The cubic root of 130355120 is about 507.0405558191.

The spelling of 130355120 in words is "one hundred thirty million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 232777 465554 931108 1163885 1629439 1862216 2327770 3258878 3724432 4655540 6517756 8147195 9311080 13035512 16294390 18622160 26071024 32588780 65177560 130355120