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6688680 = 2335139401
BaseRepresentation
bin11001100000111110101000
3110120211010220
4121200332220
53203014210
6355210040
7110565345
oct31407650
913524126
106688680
113859339
1222a6920
1315025cb
14c617cc
158c1c70
hex660fa8

6688680 has 64 divisors (see below), whose sum is σ = 20260800. Its totient is φ = 1766400.

The previous prime is 6688673. The next prime is 6688691. The reversal of 6688680 is 868866.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16480 + ... + 16880.

It is an arithmetic number, because the mean of its divisors is an integer number (316575).

Almost surely, 26688680 is an apocalyptic number.

6688680 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 6688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130400).

6688680 is an abundant number, since it is smaller than the sum of its proper divisors (13572120).

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

6688680 is a wasteful number, since it uses less digits than its factorization.

6688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 6688680 is about 2586.2482479453. The cubic root of 6688680 is about 188.4141315845.

It can be divided in two parts, 66886 and 80, that added together give a palindrome (66966).

The spelling of 6688680 in words is "six million, six hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 401 417 556 695 802 834 1112 1203 1390 1604 1668 2005 2085 2406 2780 3208 3336 4010 4170 4812 5560 6015 8020 8340 9624 12030 16040 16680 24060 48120 55739 111478 167217 222956 278695 334434 445912 557390 668868 836085 1114780 1337736 1672170 2229560 3344340 6688680