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6730020 = 22335112103
BaseRepresentation
bin11001101011000100100100
3110122220212000
4121223010210
53210330040
6400125300
7111130023
oct31530444
913586760
106730020
113887400
122306830
13151837b
14c728ba
158ce130
hex66b124

6730020 has 144 divisors (see below), whose sum is σ = 23237760. Its totient is φ = 1615680.

The previous prime is 6729991. The next prime is 6730033. The reversal of 6730020 is 200376.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6729975 and 6730002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65289 + ... + 65391.

Almost surely, 26730020 is an apocalyptic number.

6730020 is a gapful number since it is divisible by the number (60) 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 6730020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618880).

6730020 is an abundant number, since it is smaller than the sum of its proper divisors (16507740).

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

6730020 is a wasteful number, since it uses less digits than its factorization.

6730020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 6730020 is about 2594.2282089284. The cubic root of 6730020 is about 188.8015048836.

Adding to 6730020 its reverse (200376), we get a palindrome (6930396).

The spelling of 6730020 in words is "six million, seven hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 103 108 110 121 132 135 165 180 198 206 220 242 270 297 309 330 363 396 412 484 495 515 540 594 605 618 660 726 927 990 1030 1089 1133 1188 1210 1236 1452 1485 1545 1815 1854 1980 2060 2178 2266 2420 2781 2970 3090 3267 3399 3630 3708 4356 4532 4635 5445 5562 5665 5940 6180 6534 6798 7260 9270 10197 10890 11124 11330 12463 13068 13596 13905 16335 16995 18540 20394 21780 22660 24926 27810 30591 32670 33990 37389 40788 49852 50985 55620 61182 62315 65340 67980 74778 101970 112167 122364 124630 149556 152955 186945 203940 224334 249260 305910 336501 373890 448668 560835 611820 673002 747780 1121670 1346004 1682505 2243340 3365010 6730020