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1424280960 = 273253741163
BaseRepresentation
bin101010011100100…
…1100110110000000
310200021000222011200
41110321030312000
510404103442320
6353155141200
750203121424
oct12471146600
93607028150
101424280960
11670a73403
12338ba4800
131991005cb
14d7232b84
158508e290
hex54e4cd80

1424280960 has 384 divisors, whose sum is σ = 5206088160. Its totient is φ = 358318080.

The previous prime is 1424280953. The next prime is 1424280989. The reversal of 1424280960 is 690824241.

1424280960 is a `hidden beast` number, since 142 + 428 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8737839 + ... + 8738001.

Almost surely, 21424280960 is an apocalyptic number.

1424280960 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 1424280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603044080).

1424280960 is an abundant number, since it is smaller than the sum of its proper divisors (3781807200).

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

1424280960 is a wasteful number, since it uses less digits than its factorization.

1424280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1424280960 is about 37739.6470571732. The cubic root of 1424280960 is about 1125.1192525437.

The spelling of 1424280960 in words is "one billion, four hundred twenty-four million, two hundred eighty thousand, nine hundred sixty".