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1425271680 = 27335711783
BaseRepresentation
bin101010011110011…
…1110101110000000
310200022220022012000
41110330332232000
510404332143210
6353232304000
750214416010
oct12474765600
93608808160
101425271680
1167158a788
123393a2000
13199389531
14d740dc40
15851d7ac0
hex54f3eb80

1425271680 has 256 divisors, whose sum is σ = 5769446400. Its totient is φ = 325748736.

The previous prime is 1425271651. The next prime is 1425271693. The reversal of 1425271680 is 861725241.

1425271680 is a `hidden beast` number, since 1 + 42 + 527 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115069 + ... + 126851.

It is an arithmetic number, because the mean of its divisors is an integer number (22536900).

Almost surely, 21425271680 is an apocalyptic number.

1425271680 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 1425271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884723200).

1425271680 is an abundant number, since it is smaller than the sum of its proper divisors (4344174720).

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

1425271680 is a wasteful number, since it uses less digits than its factorization.

1425271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11818 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1425271680 is about 37752.7704943624. The cubic root of 1425271680 is about 1125.3800671402.

The spelling of 1425271680 in words is "one billion, four hundred twenty-five million, two hundred seventy-one thousand, six hundred eighty".