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1425035040 = 2535111321597
BaseRepresentation
bin101010011110000…
…0100111100100000
310200022110021120120
41110330010330200
510404302110130
6353223240240
750212412052
oct12474047440
93608407516
101425035040
11671438a10
123392a9080
13199305900
14d738b8d2
158518c910
hex54f04f20

1425035040 has 288 divisors, whose sum is σ = 5305922496. Its totient is φ = 318689280.

The previous prime is 1425035023. The next prime is 1425035041. The reversal of 1425035040 is 405305241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1425035040.

It is not an unprimeable number, because it can be changed into a prime (1425035041) by changing a digit.

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, 891522 + ... + 893118.

It is an arithmetic number, because the mean of its divisors is an integer number (18423342).

Almost surely, 21425035040 is an apocalyptic number.

1425035040 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 1425035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652961248).

1425035040 is an abundant number, since it is smaller than the sum of its proper divisors (3880887456).

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

1425035040 is a wasteful number, since it uses less digits than its factorization.

1425035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1425035040 is about 37749.6362896386. The cubic root of 1425035040 is about 1125.3177808447.

The spelling of 1425035040 in words is "one billion, four hundred twenty-five million, thirty-five thousand, forty".