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20839140 = 22335737149
BaseRepresentation
bin100111101111…
…1101011100100
31110012201221000
41033133223210
520313323030
62022353300
7342062340
oct117375344
943181830
1020839140
1110843833
126b8b830
13441836a
142aa6620
151c69860
hex13dfae4

20839140 has 192 divisors, whose sum is σ = 76608000. Its totient is φ = 4603392.

The previous prime is 20839129. The next prime is 20839141. The reversal of 20839140 is 4193802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20839141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139786 + ... + 139934.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 220839140 is an apocalyptic number.

20839140 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 20839140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

20839140 is an abundant number, since it is smaller than the sum of its proper divisors (55768860).

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

20839140 is a wasteful number, since it uses less digits than its factorization.

20839140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20839140 is about 4564.9906900234. The cubic root of 20839140 is about 275.1861659544.

It can be divided in two parts, 20 and 839140, that added together give a triangular number (839160 = T1295).

The spelling of 20839140 in words is "twenty million, eight hundred thirty-nine thousand, one hundred forty".