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6930292320 = 253257412409
BaseRepresentation
bin1100111010001001…
…11101111001100000
3122212222120022211100
412131010331321200
5103143123323240
63103404114400
7333511340610
oct63504757140
918788508740
106930292320
112a36a73216
121414b35a00
13865a3a4b3
1449a5b2a40
152a8649e30
hex19d13de60

6930292320 has 432 divisors, whose sum is σ = 27771176160. Its totient is φ = 1541652480.

The previous prime is 6930292307. The next prime is 6930292331. The reversal of 6930292320 is 232920396.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16944276 + ... + 16944684.

It is an arithmetic number, because the mean of its divisors is an integer number (64285130).

Almost surely, 26930292320 is an apocalyptic number.

6930292320 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 6930292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885588080).

6930292320 is an abundant number, since it is smaller than the sum of its proper divisors (20840883840).

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

6930292320 is a wasteful number, since it uses less digits than its factorization.

6930292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6930292320 is about 83248.3772814822. The cubic root of 6930292320 is about 1906.5601784681.

The spelling of 6930292320 in words is "six billion, nine hundred thirty million, two hundred ninety-two thousand, three hundred twenty".