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20888840 = 2357611223
BaseRepresentation
bin100111110101…
…1110100001000
31110022021002202
41033223310020
520321420330
62023415332
7342360260
oct117536410
943267082
1020888840
1110878105
126bb4548
134434b7b
142aba7a0
151c79445
hex13ebd08

20888840 has 64 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 7038720.

The previous prime is 20888797. The next prime is 20888863. The reversal of 20888840 is 4888802.

It is a junction number, because it is equal to n+sod(n) for n = 20888794 and 20888803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16469 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 220888840 is an apocalyptic number.

20888840 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 20888840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

20888840 is an abundant number, since it is smaller than the sum of its proper divisors (33750520).

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

20888840 is a wasteful number, since it uses less digits than its factorization.

20888840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 20888840 is about 4570.4310518812. The cubic root of 20888840 is about 275.4047593337.

Subtracting from 20888840 its sum of digits (38), we obtain a palindrome (20888802).

The spelling of 20888840 in words is "twenty million, eight hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1223 1708 2135 2440 2446 3416 4270 4892 6115 8540 8561 9784 12230 17080 17122 24460 34244 42805 48920 68488 74603 85610 149206 171220 298412 342440 373015 522221 596824 746030 1044442 1492060 2088884 2611105 2984120 4177768 5222210 10444420 20888840