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20826540 = 22325716529
BaseRepresentation
bin100111101110…
…0100110101100
31110012002122100
41033130212230
520312422130
62022215100
7342010530
oct117344654
943162570
1020826540
1110835319
126b84490
1344126c7
142aa1bc0
151c65c60
hex13dc9ac

20826540 has 72 divisors (see below), whose sum is σ = 72203040. Its totient is φ = 4760064.

The previous prime is 20826539. The next prime is 20826557. The reversal of 20826540 is 4562802.

20826540 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 654 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (1002820).

Almost surely, 220826540 is an apocalyptic number.

20826540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20826540 is an abundant number, since it is smaller than the sum of its proper divisors (51376500).

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

20826540 is a wasteful number, since it uses less digits than its factorization.

20826540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16551 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20826540 is about 4563.6104128201. The cubic root of 20826540 is about 275.1306926999.

The spelling of 20826540 in words is "twenty million, eight hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 16529 33058 49587 66116 82645 99174 115703 148761 165290 198348 231406 247935 297522 330580 347109 462812 495870 578515 595044 694218 743805 991740 1041327 1157030 1388436 1487610 1735545 2082654 2314060 2975220 3471090 4165308 5206635 6942180 10413270 20826540