Search a number
-
+
1481150160 = 2432571759293
BaseRepresentation
bin101100001001000…
…1000111011010000
310211020001020001100
41120102020323100
511013133301120
6402550104400
751463366020
oct13022107320
93736036040
101481150160
116a0086046
1235404b100
131a7b22519
141009d7a80
158a074490
hex58488ed0

1481150160 has 480 divisors, whose sum is σ = 6142106880. Its totient is φ = 312164352.

The previous prime is 1481150141. The next prime is 1481150171. The reversal of 1481150160 is 610511841.

1481150160 is a `hidden beast` number, since 148 + 11 + 501 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5054974 + ... + 5055266.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 21481150160 is an apocalyptic number.

1481150160 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 1481150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1481150160 is an abundant number, since it is smaller than the sum of its proper divisors (4660956720).

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

1481150160 is a wasteful number, since it uses less digits than its factorization.

1481150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1481150160 is about 38485.7137130130. The cubic root of 1481150160 is about 1139.8989753505.

The spelling of 1481150160 in words is "one billion, four hundred eighty-one million, one hundred fifty thousand, one hundred sixty".