Search a number
-
+
1481018880 = 29351147373
BaseRepresentation
bin101100001000110…
…1000111000000000
310211012210112222010
41120101220320000
511013120101010
6402543212520
751462311205
oct13021507000
93735715863
101481018880
1169aaa6450
12353ba7140
131a7aa7843
141009a1cac
158a04a620
hex58468e00

1481018880 has 320 divisors, whose sum is σ = 5289090048. Its totient is φ = 350453760.

The previous prime is 1481018761. The next prime is 1481018881. The reversal of 1481018880 is 888101841.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481018881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3970374 + ... + 3970746.

Almost surely, 21481018880 is an apocalyptic number.

1481018880 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 1481018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644545024).

1481018880 is an abundant number, since it is smaller than the sum of its proper divisors (3808071168).

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

1481018880 is a wasteful number, since it uses less digits than its factorization.

1481018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 39.

The square root of 1481018880 is about 38484.0081072645. The cubic root of 1481018880 is about 1139.8652964877.

The spelling of 1481018880 in words is "one billion, four hundred eighty-one million, eighteen thousand, eight hundred eighty".