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6775980 = 2235313643
BaseRepresentation
bin11001110110010010101100
3110202020220020
4121312102230
53213312410
6401122140
7111411021
oct31662254
913666806
106775980
113908992
122329350
131533273
14c85548
158dca70
hex6764ac

6775980 has 48 divisors (see below), whose sum is σ = 19590144. Its totient is φ = 1748160.

The previous prime is 6775969. The next prime is 6775981. The reversal of 6775980 is 895776.

It is a super-3 number, since 3×67759803 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6775981) 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, 39 + ... + 3681.

It is an arithmetic number, because the mean of its divisors is an integer number (408128).

Almost surely, 26775980 is an apocalyptic number.

6775980 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 6775980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795072).

6775980 is an abundant number, since it is smaller than the sum of its proper divisors (12814164).

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

6775980 is a wasteful number, since it uses less digits than its factorization.

6775980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 6775980 is about 2603.0712629507. The cubic root of 6775980 is about 189.2303118808.

The spelling of 6775980 in words is "six million, seven hundred seventy-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3643 7286 10929 14572 18215 21858 36430 43716 54645 72860 109290 112933 218580 225866 338799 451732 564665 677598 1129330 1355196 1693995 2258660 3387990 6775980