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20928040 = 2357411823
BaseRepresentation
bin100111111010…
…1011000101000
31110101020212121
41033311120220
520324144130
62024321024
7342612460
oct117653050
943336777
1020928040
11108a4601
127013174
134449973
142acaba0
151c85d7a
hex13f5628

20928040 has 64 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 6996480.

The previous prime is 20928029. The next prime is 20928043. The reversal of 20928040 is 4082902.

It is a junction number, because it is equal to n+sod(n) for n = 20927996 and 20928014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20928043) by changing a digit.

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, 10569 + ... + 12391.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 220928040 is an apocalyptic number.

20928040 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 20928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

20928040 is an abundant number, since it is smaller than the sum of its proper divisors (34229720).

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

20928040 is a wasteful number, since it uses less digits than its factorization.

20928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 20928040 is about 4574.7174776154. The cubic root of 20928040 is about 275.5769265519.

The spelling of 20928040 in words is "twenty million, nine hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 1823 2296 2870 3646 5740 7292 9115 11480 12761 14584 18230 25522 36460 51044 63805 72920 74743 102088 127610 149486 255220 298972 373715 510440 523201 597944 747430 1046402 1494860 2092804 2616005 2989720 4185608 5232010 10464020 20928040