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6661680 = 243541677
BaseRepresentation
bin11001011010011000110000
3110112110002220
4121122120300
53201133210
6354441040
7110423544
oct31323060
913473086
106661680
113840023
122293180
1314c322c
14c55a24
158b8c70
hex65a630

6661680 has 80 divisors (see below), whose sum is σ = 21186144. Its totient is φ = 1730560.

The previous prime is 6661661. The next prime is 6661687. The reversal of 6661680 is 861666.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6661687) 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, 9502 + ... + 10178.

Almost surely, 26661680 is an apocalyptic number.

6661680 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 6661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593072).

6661680 is an abundant number, since it is smaller than the sum of its proper divisors (14524464).

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

6661680 is a wasteful number, since it uses less digits than its factorization.

6661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6661680 is about 2581.0230529772. The cubic root of 6661680 is about 188.1602677411.

It can be divided in two parts, 666 and 1680, that added together give a triangular number (2346 = T68).

The spelling of 6661680 in words is "six million, six hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 677 820 984 1230 1354 1640 1968 2031 2460 2708 3280 3385 4062 4920 5416 6770 8124 9840 10155 10832 13540 16248 20310 27080 27757 32496 40620 54160 55514 81240 83271 111028 138785 162480 166542 222056 277570 333084 416355 444112 555140 666168 832710 1110280 1332336 1665420 2220560 3330840 6661680