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6389680 = 2451153137
BaseRepresentation
bin11000010111111110110000
3110000121222211
4120113332300
53113432210
6344541504
7105211543
oct30277660
913017884
106389680
113674730
122181894
13142949b
14bc485a
1586338a
hex617fb0

6389680 has 80 divisors (see below), whose sum is σ = 16632864. Its totient is φ = 2263040.

The previous prime is 6389629. The next prime is 6389683. The reversal of 6389680 is 869836.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6389683) 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 15 ways as a sum of consecutive naturals, for example, 46572 + ... + 46708.

Almost surely, 26389680 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 6389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316432).

6389680 is an abundant number, since it is smaller than the sum of its proper divisors (10243184).

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

6389680 is a wasteful number, since it uses less digits than its factorization.

6389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 6389680 is about 2527.7816361387. The cubic root of 6389680 is about 185.5637054971.

The spelling of 6389680 in words is "six million, three hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 137 176 212 220 265 274 424 440 530 548 583 685 848 880 1060 1096 1166 1370 1507 2120 2192 2332 2740 2915 3014 4240 4664 5480 5830 6028 7261 7535 9328 10960 11660 12056 14522 15070 23320 24112 29044 30140 36305 46640 58088 60280 72610 79871 116176 120560 145220 159742 290440 319484 399355 580880 638968 798710 1277936 1597420 3194840 6389680