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130455520 = 25513193301
BaseRepresentation
bin1111100011010…
…01011111100000
3100002110211022221
413301221133200
5231344034040
620540040424
73142565536
oct761513740
9302424287
10130455520
1167703188
1237833114
1321047c20
141347c156
15b6bd74a
hex7c697e0

130455520 has 96 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 45619200.

The previous prime is 130455497. The next prime is 130455529. The reversal of 130455520 is 25554031.

130455520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130455529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37870 + ... + 41170.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2130455520 is an apocalyptic number.

130455520 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 130455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

130455520 is an abundant number, since it is smaller than the sum of its proper divisors (219028160).

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

130455520 is a wasteful number, since it uses less digits than its factorization.

130455520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 130455520 is about 11421.7126561650. The cubic root of 130455520 is about 507.1706972559.

The spelling of 130455520 in words is "one hundred thirty million, four hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3301 3952 4940 6602 7904 9880 13204 16505 19760 26408 33010 39520 42913 52816 62719 66020 85826 105632 125438 132040 171652 214565 250876 264080 313595 343304 429130 501752 528160 627190 686608 815347 858260 1003504 1254380 1373216 1630694 1716520 2007008 2508760 3261388 3433040 4076735 5017520 6522776 6866080 8153470 10035040 13045552 16306940 26091104 32613880 65227760 130455520