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20640040 = 23517127239
BaseRepresentation
bin100111010111…
…1000100101000
31102211121210221
41032233010220
520240440130
62014215424
7340303021
oct116570450
942747727
1020640040
1110718193
126ab4574
134378855
142a53c48
151c2a87a
hex13af128

20640040 has 64 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 7676928.

The previous prime is 20640019. The next prime is 20640047. The reversal of 20640040 is 4004602.

It is a super-2 number, since 2×206400402 = 852022502403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20639996 and 20640023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20640047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86241 + ... + 86479.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 220640040 is an apocalyptic number.

20640040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

20640040 is an abundant number, since it is smaller than the sum of its proper divisors (29126360).

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

20640040 is a wasteful number, since it uses less digits than its factorization.

20640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20640040 is about 4543.1310788926. The cubic root of 20640040 is about 274.3069712155.

Adding to 20640040 its reverse (4004602), we get a palindrome (24644642).

The spelling of 20640040 in words is "twenty million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 239 254 340 478 508 635 680 956 1016 1195 1270 1912 2159 2390 2540 4063 4318 4780 5080 8126 8636 9560 10795 16252 17272 20315 21590 30353 32504 40630 43180 60706 81260 86360 121412 151765 162520 242824 303530 516001 607060 1032002 1214120 2064004 2580005 4128008 5160010 10320020 20640040