Search a number
-
+
6644960 = 255717349
BaseRepresentation
bin11001010110010011100000
3110111121011122
4121112103200
53200114320
6354231412
7110324030
oct31262340
913447148
106644960
113829503
122285568
1314b873a
14c4d8c0
158b3d25
hex6564e0

6644960 has 96 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 2138112.

The previous prime is 6644959. The next prime is 6644969. The reversal of 6644960 is 694466.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6644960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6644969) 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, 18866 + ... + 19214.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 26644960 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 6644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

6644960 is an abundant number, since it is smaller than the sum of its proper divisors (12406240).

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

6644960 is a wasteful number, since it uses less digits than its factorization.

6644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 6644960 is about 2577.7819923337. The cubic root of 6644960 is about 188.0027161219.

The spelling of 6644960 in words is "six million, six hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 349 476 544 560 595 680 698 952 1120 1190 1360 1396 1745 1904 2380 2443 2720 2792 3490 3808 4760 4886 5584 5933 6980 9520 9772 11168 11866 12215 13960 19040 19544 23732 24430 27920 29665 39088 41531 47464 48860 55840 59330 78176 83062 94928 97720 118660 166124 189856 195440 207655 237320 332248 390880 415310 474640 664496 830620 949280 1328992 1661240 3322480 6644960