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1025095680 = 21132572227
BaseRepresentation
bin111101000110011…
…011100000000000
32122102220020220200
4331012123200000
54044411030210
6245415205200
734255112100
oct7506334000
92572806820
101025095680
11486704614
12247376800
131344b5abb
149a201200
155eedc0c0
hex3d19b800

1025095680 has 432 divisors, whose sum is σ = 4151052360. Its totient is φ = 233275392.

The previous prime is 1025095649. The next prime is 1025095723. The reversal of 1025095680 is 865905201.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 4515727 + ... + 4515953.

Almost surely, 21025095680 is an apocalyptic number.

1025095680 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 1025095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075526180).

1025095680 is an abundant number, since it is smaller than the sum of its proper divisors (3125956680).

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

1025095680 is a wasteful number, since it uses less digits than its factorization.

1025095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1025095680 is about 32017.1154228484. The cubic root of 1025095680 is about 1008.2962092442.

The spelling of 1025095680 in words is "one billion, twenty-five million, ninety-five thousand, six hundred eighty".