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6680720 = 24537261
BaseRepresentation
bin11001011111000010010000
3110120102020002
4121133002100
53202240340
6355105132
7110533214
oct31370220
913512202
106680720
113853362
1222a21a8
1314cbab7
14c5c944
158be715
hex65f090

6680720 has 60 divisors (see below), whose sum is σ = 16225524. Its totient is φ = 2557440.

The previous prime is 6680699. The next prime is 6680731. The reversal of 6680720 is 270866.

It can be written as a sum of positive squares in 6 ways, for example, as 44944 + 6635776 = 212^2 + 2576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109490 + ... + 109550.

Almost surely, 26680720 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 6680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112762).

6680720 is an abundant number, since it is smaller than the sum of its proper divisors (9544804).

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

6680720 is a wasteful number, since it uses less digits than its factorization.

6680720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 6680720 is about 2584.7088810928. The cubic root of 6680720 is about 188.3393598893.

The spelling of 6680720 in words is "six million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1369 1480 2257 2440 2738 2960 4514 4880 5476 6845 9028 10952 11285 13690 18056 21904 22570 27380 36112 45140 54760 83509 90280 109520 167018 180560 334036 417545 668072 835090 1336144 1670180 3340360 6680720