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7040520 = 233454153
BaseRepresentation
bin11010110110111000001000
3111020200210000
4122312320020
53300244040
6410523000
7113562204
oct32667010
914220700
107040520
113a79713
122436460
1315c67b6
14d13b04
15941130
hex6b6e08

7040520 has 160 divisors (see below), whose sum is σ = 24698520. Its totient is φ = 1797120.

The previous prime is 7040513. The next prime is 7040521. The reversal of 7040520 is 250407.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 2452356 = 2142^2 + 1566^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7040493 and 7040502.

It is not an unprimeable number, because it can be changed into a prime (7040521) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 132814 + ... + 132866.

Almost surely, 27040520 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 7040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349260).

7040520 is an abundant number, since it is smaller than the sum of its proper divisors (17658000).

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

7040520 is a wasteful number, since it uses less digits than its factorization.

7040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 7040520 is about 2653.3978216619. The cubic root of 7040520 is about 191.6615129889.

Adding to 7040520 its reverse (250407), we get a palindrome (7290927).

The spelling of 7040520 in words is "seven million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 53 54 60 72 81 82 90 106 108 120 123 135 159 162 164 180 205 212 216 246 265 270 318 324 328 360 369 405 410 424 477 492 530 540 615 636 648 738 795 810 820 954 984 1060 1080 1107 1230 1272 1431 1476 1590 1620 1640 1845 1908 2120 2173 2214 2385 2460 2862 2952 3180 3240 3321 3690 3816 4293 4346 4428 4770 4920 5535 5724 6360 6519 6642 7155 7380 8586 8692 8856 9540 10865 11070 11448 13038 13284 14310 14760 16605 17172 17384 19080 19557 21465 21730 22140 26076 26568 28620 32595 33210 34344 39114 42930 43460 44280 52152 57240 58671 65190 66420 78228 85860 86920 97785 117342 130380 132840 156456 171720 176013 195570 234684 260760 293355 352026 391140 469368 586710 704052 782280 880065 1173420 1408104 1760130 2346840 3520260 7040520