Search a number
-
+
1426743360 = 2632571723181
BaseRepresentation
bin101010100001010…
…0110000001000000
310200102200001221200
41111002212001000
510410221241420
6353324021200
750233055430
oct12502460100
93612601850
101426743360
116723a5449
12339991800
13199783353
14d76b42c0
15853c8b90
hex550a6040

1426743360 has 672 divisors, whose sum is σ = 6230794752. Its totient is φ = 291962880.

The previous prime is 1426743341. The next prime is 1426743361. The reversal of 1426743360 is 633476241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1426743361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7882470 + ... + 7882650.

It is an arithmetic number, because the mean of its divisors is an integer number (9272016).

Almost surely, 21426743360 is an apocalyptic number.

1426743360 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 1426743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115397376).

1426743360 is an abundant number, since it is smaller than the sum of its proper divisors (4804051392).

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

1426743360 is a wasteful number, since it uses less digits than its factorization.

1426743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1426743360 is about 37772.2564854153. The cubic root of 1426743360 is about 1125.7672751008.

The spelling of 1426743360 in words is "one billion, four hundred twenty-six million, seven hundred forty-three thousand, three hundred sixty".