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20831040 = 263352411
BaseRepresentation
bin100111101110…
…1101101000000
31110012022211000
41033131231000
520313043130
62022252000
7342026616
oct117355500
943168730
1020831040
111083873a
126b87000
134414779
142aa36b6
151c67260
hex13ddb40

20831040 has 112 divisors (see below), whose sum is σ = 73517760. Its totient is φ = 5552640.

The previous prime is 20831017. The next prime is 20831051. The reversal of 20831040 is 4013802.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 7435 + ... + 9845.

Almost surely, 220831040 is an apocalyptic number.

20831040 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 20831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36758880).

20831040 is an abundant number, since it is smaller than the sum of its proper divisors (52686720).

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

20831040 is a wasteful number, since it uses less digits than its factorization.

20831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20831040 is about 4564.1034168827. The cubic root of 20831040 is about 275.1505071443.

Adding to 20831040 its reverse (4013802), we get a palindrome (24844842).

The spelling of 20831040 in words is "twenty million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2411 2880 4320 4822 7233 8640 9644 12055 14466 19288 21699 24110 28932 36165 38576 43398 48220 57864 65097 72330 77152 86796 96440 108495 115728 130194 144660 154304 173592 192880 216990 231456 260388 289320 325485 347184 385760 433980 462912 520776 578640 650970 694368 771520 867960 1041552 1157280 1301940 1388736 1735920 2083104 2314560 2603880 3471840 4166208 5207760 6943680 10415520 20831040