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20838440 = 2357193917
BaseRepresentation
bin100111101111…
…1100000101000
31110012200222002
41033133200220
520313312230
62022350132
7342060320
oct117374050
943180862
1020838440
1110843257
126b8b348
134417c4c
142aa6280
151c69545
hex13df828

20838440 has 64 divisors (see below), whose sum is σ = 56419200. Its totient is φ = 6766848.

The previous prime is 20838439. The next prime is 20838449. The reversal of 20838440 is 4483802.

It is not an unprimeable number, because it can be changed into a prime (20838449) 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, 3362 + ... + 7278.

It is an arithmetic number, because the mean of its divisors is an integer number (881550).

Almost surely, 220838440 is an apocalyptic number.

20838440 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 20838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28209600).

20838440 is an abundant number, since it is smaller than the sum of its proper divisors (35580760).

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

20838440 is a wasteful number, since it uses less digits than its factorization.

20838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 20838440 is about 4564.9140189055. The cubic root of 20838440 is about 275.1830846936.

The spelling of 20838440 in words is "twenty million, eight hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 3917 5320 7834 15668 19585 27419 31336 39170 54838 74423 78340 109676 137095 148846 156680 219352 274190 297692 372115 520961 548380 595384 744230 1041922 1096760 1488460 2083844 2604805 2976920 4167688 5209610 10419220 20838440