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1425631680 = 263251124091
BaseRepresentation
bin101010011111001…
…0110100111000000
310200100120121000100
41110332112213000
510404430203210
6353244122400
750220445404
oct12476264700
93610517010
101425631680
11671806200
12339536400
13199484355
14d74a5104
15852595c0
hex54f969c0

1425631680 has 252 divisors, whose sum is σ = 5391201816. Its totient is φ = 345523200.

The previous prime is 1425631651. The next prime is 1425631681. The reversal of 1425631680 is 861365241.

It is a happy number.

1425631680 is a `hidden beast` number, since 1 + 4 + 2 + 563 + 16 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425631681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346435 + ... + 350525.

It is an arithmetic number, because the mean of its divisors is an integer number (21393658).

Almost surely, 21425631680 is an apocalyptic number.

1425631680 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 1425631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695600908).

1425631680 is an abundant number, since it is smaller than the sum of its proper divisors (3965570136).

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

1425631680 is a wasteful number, since it uses less digits than its factorization.

1425631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1425631680 is about 37757.5380553341. The cubic root of 1425631680 is about 1125.4748099471.

The spelling of 1425631680 in words is "one billion, four hundred twenty-five million, six hundred thirty-one thousand, six hundred eighty".