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21050280 = 233457389
BaseRepresentation
bin101000001001…
…1001110101000
31110121110120000
41100103032220
520342102110
62031103000
7343632036
oct120231650
943543500
1021050280
1110978429
127071a60
1344904b4
142b1d556
151cac1c0
hex14133a8

21050280 has 160 divisors (see below), whose sum is σ = 72527400. Its totient is φ = 5474304.

The previous prime is 21050279. The next prime is 21050287. The reversal of 21050280 is 8205012.

It can be written as a sum of positive squares in 4 ways, for example, as 14424804 + 6625476 = 3798^2 + 2574^2 .

It is a super-2 number, since 2×210502802 = 886228576156800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21050287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236476 + ... + 236564.

Almost surely, 221050280 is an apocalyptic number.

21050280 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 21050280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263700).

21050280 is an abundant number, since it is smaller than the sum of its proper divisors (51477120).

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

21050280 is a wasteful number, since it uses less digits than its factorization.

21050280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 21050280 is about 4588.0584128801. The cubic root of 21050280 is about 276.1124305649.

Adding to 21050280 its reverse (8205012), we get a palindrome (29255292).

The spelling of 21050280 in words is "twenty-one million, fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 89 90 108 120 135 146 162 178 180 216 219 267 270 292 324 356 360 365 405 438 445 534 540 584 648 657 712 730 801 810 876 890 1068 1080 1095 1314 1335 1460 1602 1620 1752 1780 1971 2136 2190 2403 2628 2670 2920 3204 3240 3285 3560 3942 4005 4380 4806 5256 5340 5913 6408 6497 6570 7209 7884 8010 8760 9612 9855 10680 11826 12015 12994 13140 14418 15768 16020 19224 19491 19710 23652 24030 25988 26280 28836 29565 32040 32485 36045 38982 39420 47304 48060 51976 57672 58473 59130 64970 72090 77964 78840 96120 97455 116946 118260 129940 144180 155928 175419 194910 233892 236520 259880 288360 292365 350838 389820 467784 526257 584730 701676 779640 877095 1052514 1169460 1403352 1754190 2105028 2338920 2631285 3508380 4210056 5262570 7016760 10525140 21050280