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130602560 = 2651123373
BaseRepresentation
bin1111100100011…
…01011001000000
3100002202022000212
413302031121000
5231413240220
620543133252
73144050324
oct762153100
9302668025
10130602560
11677a3700
12378a4228
1321099b2a
14134b9984
15b6ec0c5
hex7c8d640

130602560 has 84 divisors (see below), whose sum is σ = 341941404. Its totient is φ = 47477760.

The previous prime is 130602559. The next prime is 130602569. The reversal of 130602560 is 65206031.

It can be written as a sum of positive squares in 2 ways, for example, as 98883136 + 31719424 = 9944^2 + 5632^2 .

It is not an unprimeable number, because it can be changed into a prime (130602569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37034 + ... + 40406.

It is an arithmetic number, because the mean of its divisors is an integer number (4070731).

Almost surely, 2130602560 is an apocalyptic number.

130602560 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 130602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170970702).

130602560 is an abundant number, since it is smaller than the sum of its proper divisors (211338844).

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

130602560 is a wasteful number, since it uses less digits than its factorization.

130602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 130602560 is about 11428.1477064308. The cubic root of 130602560 is about 507.3611743845.

Adding to 130602560 its reverse (65206031), we get a palindrome (195808591).

The spelling of 130602560 in words is "one hundred thirty million, six hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3373 3520 3872 4840 6746 7744 9680 13492 16865 19360 26984 33730 37103 38720 53968 67460 74206 107936 134920 148412 185515 215872 269840 296824 371030 408133 539680 593648 742060 816266 1079360 1187296 1484120 1632532 2040665 2374592 2968240 3265064 4081330 5936480 6530128 8162660 11872960 13060256 16325320 26120512 32650640 65301280 130602560