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7065630 = 2345111361
BaseRepresentation
bin11010111101000000011110
3111021222020000
4122331000132
53302100010
6411235130
7114025335
oct32750036
914258200
107065630
113a96570
122448aa6
131605060
14d1cd1c
159487c0
hex6bd01e

7065630 has 160 divisors (see below), whose sum is σ = 22686048. Its totient is φ = 1555200.

The previous prime is 7065629. The next prime is 7065637. The reversal of 7065630 is 365607.

7065630 is a `hidden beast` number, since 7 + 0 + 656 + 3 + 0 = 666.

7065630 is digitally balanced in base 4, 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 (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7065594 and 7065603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7065637) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115800 + ... + 115860.

Almost surely, 27065630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7065630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343024).

7065630 is an abundant number, since it is smaller than the sum of its proper divisors (15620418).

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

7065630 is a wasteful number, since it uses less digits than its factorization.

7065630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7065630 is about 2658.1252792147. The cubic root of 7065630 is about 191.8890961078.

It can be divided in two parts, 706 and 5630, that added together give a palindrome (6336).

The spelling of 7065630 in words is "seven million, sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 61 65 66 78 81 90 99 110 117 122 130 135 143 162 165 183 195 198 234 270 286 297 305 330 351 366 390 405 429 495 549 585 594 610 671 702 715 793 810 858 891 915 990 1053 1098 1170 1287 1342 1430 1485 1586 1647 1755 1782 1830 2013 2106 2145 2379 2574 2745 2970 3294 3355 3510 3861 3965 4026 4290 4455 4758 4941 5265 5490 6039 6435 6710 7137 7722 7930 8235 8723 8910 9882 10065 10530 11583 11895 12078 12870 14274 16470 17446 18117 19305 20130 21411 23166 23790 24705 26169 30195 35685 36234 38610 42822 43615 49410 52338 54351 57915 60390 64233 71370 78507 87230 90585 107055 108702 115830 128466 130845 157014 181170 214110 235521 261690 271755 321165 392535 471042 543510 642330 706563 785070 1177605 1413126 2355210 3532815 7065630