Search a number
-
+
6649680 = 2435103269
BaseRepresentation
bin11001010111011101010000
3110111211122110
4121113131100
53200242210
6354305320
7110343552
oct31273520
913454573
106649680
113832004
122288240
1314ba92b
14c514d2
158b5420
hex657750

6649680 has 80 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 1749504.

The previous prime is 6649661. The next prime is 6649681. The reversal of 6649680 is 869466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6649681) 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, 24586 + ... + 24854.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 26649680 is an apocalyptic number.

6649680 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 6649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

6649680 is an abundant number, since it is smaller than the sum of its proper divisors (14241840).

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

6649680 is a wasteful number, since it uses less digits than its factorization.

6649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6649680 is about 2578.6973455604. The cubic root of 6649680 is about 188.0472191638.

The spelling of 6649680 in words is "six million, six hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 269 309 412 515 538 618 807 824 1030 1076 1236 1345 1545 1614 1648 2060 2152 2472 2690 3090 3228 4035 4120 4304 4944 5380 6180 6456 8070 8240 10760 12360 12912 16140 21520 24720 27707 32280 55414 64560 83121 110828 138535 166242 221656 277070 332484 415605 443312 554140 664968 831210 1108280 1329936 1662420 2216560 3324840 6649680