Search a number
-
+
1478478960 = 243357261229
BaseRepresentation
bin101100000011111…
…1100110001110000
310211001000111212000
41120013330301300
511011442311320
6402412534000
751431602200
oct13007746160
93731014760
101478478960
11699621142
12353181300
131a73c872a
14100500400
1589be7c90
hex581fcc70

1478478960 has 480 divisors, whose sum is σ = 6047380800. Its totient is φ = 330946560.

The previous prime is 1478478931. The next prime is 1478478973. The reversal of 1478478960 is 698748741.

It is a happy number.

1478478960 is a `hidden beast` number, since 14 + 78 + 478 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1478478897 and 1478478906.

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, 6456126 + ... + 6456354.

It is an arithmetic number, because the mean of its divisors is an integer number (12598710).

Almost surely, 21478478960 is an apocalyptic number.

1478478960 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 1478478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023690400).

1478478960 is an abundant number, since it is smaller than the sum of its proper divisors (4568901840).

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

1478478960 is a wasteful number, since it uses less digits than its factorization.

1478478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1478478960 is about 38450.9942654283. The cubic root of 1478478960 is about 1139.2133076590.

The spelling of 1478478960 in words is "one billion, four hundred seventy-eight million, four hundred seventy-eight thousand, nine hundred sixty".