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130380560 = 24523591201
BaseRepresentation
bin1111100010101…
…11001100010000
3100002100000111122
413301113030100
5231334134220
620534301412
73142134152
oct761271420
9302300448
10130380560
1167661932
12377b7868
132101ca7b
141345cad2
15b6a6425
hex7c57310

130380560 has 80 divisors (see below), whose sum is σ = 321943680. Its totient is φ = 48998400.

The previous prime is 130380553. The next prime is 130380577. The reversal of 130380560 is 65083031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107960 + ... + 109160.

It is an arithmetic number, because the mean of its divisors is an integer number (4024296).

Almost surely, 2130380560 is an apocalyptic number.

130380560 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 130380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160971840).

130380560 is an abundant number, since it is smaller than the sum of its proper divisors (191563120).

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

130380560 is a wasteful number, since it uses less digits than its factorization.

130380560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 130380560 is about 11418.4307152953. The cubic root of 130380560 is about 507.0735382155.

The spelling of 130380560 in words is "one hundred thirty million, three hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 920 944 1180 1201 1357 1840 2360 2402 2714 4720 4804 5428 6005 6785 9608 10856 12010 13570 19216 21712 24020 27140 27623 48040 54280 55246 70859 96080 108560 110492 138115 141718 220984 276230 283436 354295 441968 552460 566872 708590 1104920 1133744 1417180 1629757 2209840 2834360 3259514 5668720 6519028 8148785 13038056 16297570 26076112 32595140 65190280 130380560