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20627712 = 283271279
BaseRepresentation
bin100111010110…
…0000100000000
31102210222220100
41032230010000
520240041322
62014042400
7340222050
oct116540400
942728810
1020627712
11107099a6
126aa9400
134373061
142a4d560
151c26dac
hex13ac100

20627712 has 108 divisors (see below), whose sum is σ = 68024320. Its totient is φ = 5889024.

The previous prime is 20627693. The next prime is 20627713. The reversal of 20627712 is 21772602.

20627712 is a `hidden beast` number, since 20 + 627 + 7 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (20627713) 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, 15489 + ... + 16767.

Almost surely, 220627712 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 20627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34012160).

20627712 is an abundant number, since it is smaller than the sum of its proper divisors (47396608).

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

20627712 is a wasteful number, since it uses less digits than its factorization.

20627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20627712 is about 4541.7741027048. The cubic root of 20627712 is about 274.2523471315.

The spelling of 20627712 in words is "twenty million, six hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1279 1344 1792 2016 2304 2558 2688 3837 4032 5116 5376 7674 8064 8953 10232 11511 15348 16128 17906 20464 23022 26859 30696 35812 40928 46044 53718 61392 71624 80577 81856 92088 107436 122784 143248 161154 163712 184176 214872 245568 286496 322308 327424 368352 429744 491136 572992 644616 736704 859488 982272 1145984 1289232 1473408 1718976 2291968 2578464 2946816 3437952 5156928 6875904 10313856 20627712