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6930 = 2325711
BaseRepresentation
bin1101100010010
3100111200
41230102
5210210
652030
726130
oct15422
910450
106930
115230
124016
133201
142750
1520c0
hex1b12

6930 has 48 divisors (see below), whose sum is σ = 22464. Its totient is φ = 1440.

The previous prime is 6917. The next prime is 6947. The reversal of 6930 is 396.

6930 = 12 + 22 + ... + 272.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

26930 is an apocalyptic number.

6930 is the 42-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232).

6930 is an abundant number, since it is smaller than the sum of its proper divisors (15534).

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

6930 is a wasteful number, since it uses less digits than its factorization.

6930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 6930 is about 83.2466215531. The cubic root of 6930 is about 19.0653337183.

It can be divided in two parts, 69 and 30, that added together give a palindrome (99).

The spelling of 6930 in words is "six thousand, nine hundred thirty".