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130454064 = 2435132989
BaseRepresentation
bin1111100011010…
…01001000110000
3100002110202100000
413301221020300
5231344012224
620540030000
73142561356
oct761511060
9302422300
10130454064
1167702084
1237832300
1321047370
141347b7d6
15b6bd0c9
hex7c69230

130454064 has 240 divisors, whose sum is σ = 426535200. Its totient is φ = 38320128.

The previous prime is 130454053. The next prime is 130454081. The reversal of 130454064 is 460454031.

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

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, 1465732 + ... + 1465820.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2130454064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

130454064 is an abundant number, since it is smaller than the sum of its proper divisors (296081136).

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

130454064 is a wasteful number, since it uses less digits than its factorization.

130454064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130454064 is about 11421.6489177351. The cubic root of 130454064 is about 507.1688104231.

The spelling of 130454064 in words is "one hundred thirty million, four hundred fifty-four thousand, sixty-four".