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520214640 = 2435111011951
BaseRepresentation
bin11111000000011…
…101100001110000
31100020212122022220
4133000131201300
52031133332030
6123342001040
715614515521
oct3700354160
91306778286
10520214640
11247713a60
12126276180
1383a1211a
144d138848
1530a0ca10
hex1f01d870

520214640 has 160 divisors (see below), whose sum is σ = 1777600512. Its totient is φ = 124800000.

The previous prime is 520214593. The next prime is 520214641. The reversal of 520214640 is 46412025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 520214640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520214641) 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 31 ways as a sum of consecutive naturals, for example, 265665 + ... + 267615.

Almost surely, 2520214640 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 520214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888800256).

520214640 is an abundant number, since it is smaller than the sum of its proper divisors (1257385872).

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

520214640 is a wasteful number, since it uses less digits than its factorization.

520214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 520214640 is about 22808.2143097613. The cubic root of 520214640 is about 804.2557786233.

Adding to 520214640 its reverse (46412025), we get a palindrome (566626665).

The spelling of 520214640 in words is "five hundred twenty million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 1951 2020 2222 2424 2640 3030 3333 3902 4040 4444 4848 5555 5853 6060 6666 7804 8080 8888 9755 11110 11706 12120 13332 15608 16665 17776 19510 21461 22220 23412 24240 26664 29265 31216 33330 39020 42922 44440 46824 53328 58530 64383 66660 78040 85844 88880 93648 107305 117060 128766 133320 156080 171688 197051 214610 234120 257532 266640 321915 343376 394102 429220 468240 515064 591153 643830 788204 858440 985255 1030128 1182306 1287660 1576408 1716880 1970510 2167561 2364612 2575320 2955765 3152816 3941020 4335122 4729224 5150640 5911530 6502683 7882040 8670244 9458448 10837805 11823060 13005366 15764080 17340488 21675610 23646120 26010732 32513415 34680976 43351220 47292240 52021464 65026830 86702440 104042928 130053660 173404880 260107320 520214640