Search a number
-
+
1424774880 = 253353110639
BaseRepresentation
bin101010011101100…
…0101011011100000
310200021222001201000
41110323011123200
510404220244010
6353213512000
750210246424
oct12473053340
93607861630
101424774880
11671280501
123391a2600
13199244379
14d7320b84
158513a7c0
hex54ec56e0

1424774880 has 192 divisors, whose sum is σ = 5148057600. Its totient is φ = 367649280.

The previous prime is 1424774863. The next prime is 1424774891. The reversal of 1424774880 is 884774241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128601 + ... + 139239.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 21424774880 is an apocalyptic number.

1424774880 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 1424774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

1424774880 is an abundant number, since it is smaller than the sum of its proper divisors (3723282720).

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

1424774880 is a wasteful number, since it uses less digits than its factorization.

1424774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 1424774880 is about 37746.1902713373. The cubic root of 1424774880 is about 1125.2492958640.

The spelling of 1424774880 in words is "one billion, four hundred twenty-four million, seven hundred seventy-four thousand, eight hundred eighty".