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6930381120 = 2635135091091
BaseRepresentation
bin1100111010001010…
…10011100101000000
3122212222201211122020
412131011103211000
5103143134143440
63103410041440
7333512160525
oct63505234500
918788654566
106930381120
112a37023a03
121414b79280
13865a6ba40
1449a5d714c
152a86663d0
hex19d153940

6930381120 has 224 divisors, whose sum is σ = 23764890240. Its totient is φ = 1701027840.

The previous prime is 6930381103. The next prime is 6930381151. The reversal of 6930381120 is 211830396.

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, 6351775 + ... + 6352865.

It is an arithmetic number, because the mean of its divisors is an integer number (106093260).

Almost surely, 26930381120 is an apocalyptic number.

6930381120 is a gapful number since it is divisible by the number (60) 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 6930381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882445120).

6930381120 is an abundant number, since it is smaller than the sum of its proper divisors (16834509120).

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

6930381120 is a wasteful number, since it uses less digits than its factorization.

6930381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 6930381120 is about 83248.9106235031. The cubic root of 6930381120 is about 1906.5683215504.

The spelling of 6930381120 in words is "six billion, nine hundred thirty million, three hundred eighty-one thousand, one hundred twenty".