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130478040 = 23345711523
BaseRepresentation
bin1111100011011…
…10111111011000
3100002111222020000
413301232333120
5231400244130
620540333000
73143021310
oct761567730
9302458200
10130478040
11677190a0
1237844160
1321055254
1413486440
15b6c5260
hex7c6efd8

130478040 has 320 divisors, whose sum is σ = 547810560. Its totient is φ = 27060480.

The previous prime is 130478027. The next prime is 130478041. The reversal of 130478040 is 40874031.

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 = 130477995 and 130478013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130478041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249219 + ... + 249741.

It is an arithmetic number, because the mean of its divisors is an integer number (1711908).

Almost surely, 2130478040 is an apocalyptic number.

130478040 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 130478040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273905280).

130478040 is an abundant number, since it is smaller than the sum of its proper divisors (417332520).

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

130478040 is a wasteful number, since it uses less digits than its factorization.

130478040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130478040 is about 11422.6984552688. The cubic root of 130478040 is about 507.1998791741.

The spelling of 130478040 in words is "one hundred thirty million, four hundred seventy-eight thousand, forty".