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21056040 = 23325232543
BaseRepresentation
bin101000001010…
…0101000101000
31110121202110100
41100110220220
520342243130
62031145400
7343654605
oct120245050
943552410
1021056040
1110981795
127075260
134492cc5
142b216ac
151cadc60
hex1414a28

21056040 has 96 divisors (see below), whose sum is σ = 71435520. Its totient is φ = 5368704.

The previous prime is 21056039. The next prime is 21056051. The reversal of 21056040 is 4065012.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7009 + ... + 9551.

It is an arithmetic number, because the mean of its divisors is an integer number (744120).

Almost surely, 221056040 is an apocalyptic number.

21056040 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 21056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717760).

21056040 is an abundant number, since it is smaller than the sum of its proper divisors (50379480).

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

21056040 is a wasteful number, since it uses less digits than its factorization.

21056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21056040 is about 4588.6860864522. The cubic root of 21056040 is about 276.1376125349.

The spelling of 21056040 in words is "twenty-one million, fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2543 2760 4140 5086 7629 8280 10172 12715 15258 20344 22887 25430 30516 38145 45774 50860 58489 61032 76290 91548 101720 114435 116978 152580 175467 183096 228870 233956 292445 305160 350934 457740 467912 526401 584890 701868 877335 915480 1052802 1169780 1403736 1754670 2105604 2339560 2632005 3509340 4211208 5264010 7018680 10528020 21056040