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20927520 = 2532514533
BaseRepresentation
bin100111111010…
…1010000100000
31110101020011100
41033311100200
520324140040
62024314400
7342611115
oct117652040
943336140
1020927520
11108a4179
127012a00
134449663
142aca90c
151c85b30
hex13f5420

20927520 has 72 divisors (see below), whose sum is σ = 71420076. Its totient is φ = 5580288.

The previous prime is 20927513. The next prime is 20927521. The reversal of 20927520 is 2572902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 24336 = 4572^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×209275202 = 875922186700800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20927521) 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 11 ways as a sum of consecutive naturals, for example, 5827 + ... + 8706.

Almost surely, 220927520 is an apocalyptic number.

20927520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20927520 is an abundant number, since it is smaller than the sum of its proper divisors (50492556).

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

20927520 is a wasteful number, since it uses less digits than its factorization.

20927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14543 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20927520 is about 4574.6606431516. The cubic root of 20927520 is about 275.5746441087.

The spelling of 20927520 in words is "twenty million, nine hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14533 29066 43599 58132 72665 87198 116264 130797 145330 174396 217995 232528 261594 290660 348792 435990 465056 523188 581320 653985 697584 871980 1046376 1162640 1307970 1395168 1743960 2092752 2325280 2615940 3487920 4185504 5231880 6975840 10463760 20927520