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6713980 = 22572131731
BaseRepresentation
bin11001100111001001111100
3110122002211221
4121213021330
53204321410
6355523124
7111032200
oct31471174
913562757
106713980
113876349
1222b94a4
131510c90
14c6ab00
158c94da
hex66727c

6713980 has 144 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 1935360.

The previous prime is 6713969. The next prime is 6713981. The reversal of 6713980 is 893176.

6713980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6713981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216565 + ... + 216595.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 26713980 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 6713980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

6713980 is an abundant number, since it is smaller than the sum of its proper divisors (12591236).

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

6713980 is a wasteful number, since it uses less digits than its factorization.

6713980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 6713980 is about 2591.1348864928. The cubic root of 6713980 is about 188.6513921438.

The spelling of 6713980 in words is "six million, seven hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 31 34 35 49 52 62 65 68 70 85 91 98 119 124 130 140 155 170 182 196 217 221 238 245 260 310 340 364 403 434 442 455 476 490 527 595 620 637 806 833 868 884 910 980 1054 1085 1105 1190 1274 1519 1547 1612 1666 1820 2015 2108 2170 2210 2380 2548 2635 2821 3038 3094 3185 3332 3689 4030 4165 4340 4420 5270 5642 6076 6188 6370 6851 7378 7595 7735 8060 8330 10540 10829 11284 12740 13702 14105 14756 15190 15470 16660 18445 19747 21658 25823 27404 28210 30380 30940 34255 36890 39494 43316 47957 51646 54145 56420 68510 73780 78988 95914 98735 103292 108290 129115 137020 191828 197470 216580 239785 258230 335699 394940 479570 516460 671398 959140 1342796 1678495 3356990 6713980