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20627280 = 2432528649
BaseRepresentation
bin100111010101…
…1111101010000
31102210222022100
41032223331100
520240033110
62014040400
7340220562
oct116537520
942728270
1020627280
1110709643
126aa9100
134372abb
142a4d332
151c26bc0
hex13abf50

20627280 has 60 divisors (see below), whose sum is σ = 69275700. Its totient is φ = 5500416.

The previous prime is 20627249. The next prime is 20627281. The reversal of 20627280 is 8272602.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 12194064 = 2904^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13605 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (1154595).

Almost surely, 220627280 is an apocalyptic number.

20627280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20627280 is an abundant number, since it is smaller than the sum of its proper divisors (48648420).

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

20627280 is a wasteful number, since it uses less digits than its factorization.

20627280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28668 (or 28659 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20627280 is about 4541.7265439478. The cubic root of 20627280 is about 274.2504325898.

Adding to 20627280 its reverse (8272602), we get a palindrome (28899882).

The spelling of 20627280 in words is "twenty million, six hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28649 57298 85947 114596 143245 171894 229192 257841 286490 343788 429735 458384 515682 572980 687576 859470 1031364 1145960 1289205 1375152 1718940 2062728 2291920 2578410 3437880 4125456 5156820 6875760 10313640 20627280