Search a number
-
+
6930103320 = 233257219232931
BaseRepresentation
bin1100111010001000…
…01111110000011000
3122212222012201120100
412131010033300120
5103143101301240
63103400055400
7333506622600
oct63504176030
918788181510
106930103320
112a36954218
121414a64560
138659a246a
1449a563c00
152a860de30
hex19d10fc18

6930103320 has 1152 divisors, whose sum is σ = 30730752000. Its totient is φ = 1341204480.

The previous prime is 6930103309. The next prime is 6930103337. The reversal of 6930103320 is 233010396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 223551705 + ... + 223551735.

It is an arithmetic number, because the mean of its divisors is an integer number (26676000).

Almost surely, 26930103320 is an apocalyptic number.

6930103320 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 6930103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365376000).

6930103320 is an abundant number, since it is smaller than the sum of its proper divisors (23800648680).

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

6930103320 is a wasteful number, since it uses less digits than its factorization.

6930103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 6930103320 is about 83247.2421164810. The cubic root of 6930103320 is about 1906.5428466764.

The spelling of 6930103320 in words is "six billion, nine hundred thirty million, one hundred three thousand, three hundred twenty".