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130505610 = 23553211389
BaseRepresentation
bin1111100011101…
…01101110001010
3100002120101001010
413301311232022
5231402134420
620541104350
73143164554
oct761655612
9302511033
10130505610
1167737884
12378580b6
1321064971
14134924d4
15b6cd4e0
hex7c75b8a

130505610 has 64 divisors (see below), whose sum is σ = 321459840. Its totient is φ = 33895680.

The previous prime is 130505603. The next prime is 130505633. The reversal of 130505610 is 16505031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335296 + ... + 335684.

It is an arithmetic number, because the mean of its divisors is an integer number (5022810).

Almost surely, 2130505610 is an apocalyptic number.

130505610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130505610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160729920).

130505610 is an abundant number, since it is smaller than the sum of its proper divisors (190954230).

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

130505610 is a wasteful number, since it uses less digits than its factorization.

130505610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 130505610 is about 11423.9051991865. The cubic root of 130505610 is about 507.2356004237.

The spelling of 130505610 in words is "one hundred thirty million, five hundred five thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 211 265 318 389 422 530 633 778 795 1055 1167 1266 1590 1945 2110 2334 3165 3890 5835 6330 11183 11670 20617 22366 33549 41234 55915 61851 67098 82079 103085 111830 123702 164158 167745 206170 246237 309255 335490 410395 492474 618510 820790 1231185 2462370 4350187 8700374 13050561 21750935 26101122 43501870 65252805 130505610