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1425768960 = 29357112411
BaseRepresentation
bin101010011111011…
…1000001000000000
310200100211120022210
41110332320020000
510404444101320
6353251102120
750221556550
oct12476701000
93610746283
101425768960
1167189a360
123395a1940
13199501995
14d74dd160
15852850e0
hex54fb8200

1425768960 has 320 divisors, whose sum is σ = 5685064704. Its totient is φ = 296140800.

The previous prime is 1425768899. The next prime is 1425768961. The reversal of 1425768960 is 698675241.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1425768961) 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, 590155 + ... + 592565.

Almost surely, 21425768960 is an apocalyptic number.

1425768960 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 1425768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842532352).

1425768960 is an abundant number, since it is smaller than the sum of its proper divisors (4259295744).

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

1425768960 is a wasteful number, since it uses less digits than its factorization.

1425768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1425768960 is about 37759.3559267104. The cubic root of 1425768960 is about 1125.5109343367.

The spelling of 1425768960 in words is "one billion, four hundred twenty-five million, seven hundred sixty-eight thousand, nine hundred sixty".