[go: up one dir, main page]

Search a number
-
+
6930768 = 2431329383
BaseRepresentation
bin11010011100000101010000
3111001010020010
4122130011100
53233241033
6404314520
7112624215
oct32340520
914033203
106930768
113a04209
1223a2a40
131588860
14cc5b0c
1591d863
hex69c150

6930768 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 2053632.

The previous prime is 6930733. The next prime is 6930769. The reversal of 6930768 is 8670396.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17905 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 26930768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6930768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6930768 is an abundant number, since it is smaller than the sum of its proper divisors (13067952).

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

6930768 is a wasteful number, since it uses less digits than its factorization.

6930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6930768 is about 2632.6351817143. The cubic root of 6930768 is about 190.6603798167.

The spelling of 6930768 in words is "six million, nine hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 383 464 624 696 754 766 1131 1149 1392 1508 1532 2262 2298 3016 3064 4524 4596 4979 6032 6128 9048 9192 9958 11107 14937 18096 18384 19916 22214 29874 33321 39832 44428 59748 66642 79664 88856 119496 133284 144391 177712 238992 266568 288782 433173 533136 577564 866346 1155128 1732692 2310256 3465384 6930768