Search a number
-
+
6677660 = 22511127239
BaseRepresentation
bin11001011110010010011100
3110120021000202
4121132102130
53202141120
6355043032
7110521253
oct31362234
913507022
106677660
113851030
1222a0478
1314ca5a2
14c5b79a
158bd875
hex65e49c

6677660 has 48 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 2399040.

The previous prime is 6677641. The next prime is 6677663. The reversal of 6677660 is 667766.

It is a super-2 number, since 2×66776602 = 89182286151200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677663) 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, 27821 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 26677660 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 6677660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

6677660 is an abundant number, since it is smaller than the sum of its proper divisors (8805220).

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

6677660 is a wasteful number, since it uses less digits than its factorization.

6677660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 6677660 is about 2584.1168704221. The cubic root of 6677660 is about 188.3106001920.

It can be divided in two parts, 6677 and 660, that added together give a palindrome (7337).

The spelling of 6677660 in words is "six million, six hundred seventy-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 239 254 478 508 635 956 1195 1270 1397 2390 2540 2629 2794 4780 5258 5588 6985 10516 13145 13970 26290 27940 30353 52580 60706 121412 151765 303530 333883 607060 667766 1335532 1669415 3338830 6677660