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6730416 = 2432711607
BaseRepresentation
bin11001101011001010110000
3110122221101200
4121223022300
53210333131
6400131200
7111131130
oct31531260
913587350
106730416
113887730
122306b00
1315185c4
14c72ac0
158ce2e6
hex66b2b0

6730416 has 120 divisors (see below), whose sum is σ = 23522304. Its totient is φ = 1745280.

The previous prime is 6730391. The next prime is 6730463. The reversal of 6730416 is 6140376.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6730416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10785 + ... + 11391.

Almost surely, 26730416 is an apocalyptic number.

6730416 is a gapful number since it is divisible by the number (66) 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 6730416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761152).

6730416 is an abundant number, since it is smaller than the sum of its proper divisors (16791888).

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

6730416 is a wasteful number, since it uses less digits than its factorization.

6730416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6730416 is about 2594.3045310834. The cubic root of 6730416 is about 188.8052078904.

The spelling of 6730416 in words is "six million, seven hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 607 616 693 792 924 1008 1214 1232 1386 1584 1821 1848 2428 2772 3642 3696 4249 4856 5463 5544 6677 7284 8498 9712 10926 11088 12747 13354 14568 16996 20031 21852 25494 26708 29136 33992 38241 40062 43704 46739 50988 53416 60093 67984 76482 80124 87408 93478 101976 106832 120186 140217 152964 160248 186956 203952 240372 280434 305928 320496 373912 420651 480744 560868 611856 747824 841302 961488 1121736 1682604 2243472 3365208 6730416