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130559040 = 263552373
BaseRepresentation
bin1111100100000…
…10110001000000
3100002200002100000
413302002301000
5231410342130
620542200000
73143506413
oct762026100
9302602300
10130559040
1167773a37
1237883000
1321083091
14134a7b7a
15b6de260
hex7c82c40

130559040 has 336 divisors, whose sum is σ = 492605568. Its totient is φ = 32845824.

The previous prime is 130559029. The next prime is 130559053. The reversal of 130559040 is 40955031.

130559040 is a `hidden beast` number, since 1 + 30 + 5 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130558995 and 130559013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788444 + ... + 1788516.

It is an arithmetic number, because the mean of its divisors is an integer number (1466088).

Almost surely, 2130559040 is an apocalyptic number.

130559040 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 130559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302784).

130559040 is an abundant number, since it is smaller than the sum of its proper divisors (362046528).

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

130559040 is an equidigital number, since it uses as much as digits as its factorization.

130559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 130559040 is about 11426.2434771888. The cubic root of 130559040 is about 507.3048130306.

The spelling of 130559040 in words is "one hundred thirty million, five hundred fifty-nine thousand, forty".