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130500640 = 2557311173
BaseRepresentation
bin1111100011101…
…00100000100000
3100002120010020001
413301310200200
5231402010030
620541025344
73143144224
oct761644040
9302503201
10130500640
1167734076
1237855254
132106261a
1413490784
15b6cbcca
hex7c74820

130500640 has 48 divisors (see below), whose sum is σ = 312559128. Its totient is φ = 51480576.

The previous prime is 130500637. The next prime is 130500659. The reversal of 130500640 is 46005031.

It can be written as a sum of positive squares in 4 ways, for example, as 106254864 + 24245776 = 10308^2 + 4924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094 + ... + 17266.

Almost surely, 2130500640 is an apocalyptic number.

130500640 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 130500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156279564).

130500640 is an abundant number, since it is smaller than the sum of its proper divisors (182058488).

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

130500640 is a wasteful number, since it uses less digits than its factorization.

130500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130500640 is about 11423.6876708005. The cubic root of 130500640 is about 507.2291613826.

Adding to 130500640 its reverse (46005031), we get a palindrome (176505671).

The spelling of 130500640 in words is "one hundred thirty million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11173 11680 22346 44692 55865 89384 111730 178768 223460 357536 446920 815629 893840 1631258 1787680 3262516 4078145 6525032 8156290 13050064 16312580 26100128 32625160 65250320 130500640