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21230040 = 23351331439
BaseRepresentation
bin101000011111…
…1000111011000
31110221121010210
41100333013120
520413330130
62035011120
7345311106
oct120770730
943847123
1021230040
1110a90497
127139aa0
134524270
142b68c76
151ce55b0
hex143f1d8

21230040 has 128 divisors (see below), whose sum is σ = 70963200. Its totient is φ = 5045760.

The previous prime is 21230023. The next prime is 21230047. The reversal of 21230040 is 4003212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21229998 and 21230025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21230047) 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 31 ways as a sum of consecutive naturals, for example, 48141 + ... + 48579.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 221230040 is an apocalyptic number.

21230040 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 21230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481600).

21230040 is an abundant number, since it is smaller than the sum of its proper divisors (49733160).

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

21230040 is a wasteful number, since it uses less digits than its factorization.

21230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21230040 is about 4607.6067540536. The cubic root of 21230040 is about 276.8961628639.

Adding to 21230040 its reverse (4003212), we get a palindrome (25233252).

The spelling of 21230040 in words is "twenty-one million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 439 465 520 620 744 780 806 878 930 1209 1240 1317 1560 1612 1756 1860 2015 2195 2418 2634 3224 3512 3720 4030 4390 4836 5268 5707 6045 6585 8060 8780 9672 10536 11414 12090 13170 13609 16120 17121 17560 22828 24180 26340 27218 28535 34242 40827 45656 48360 52680 54436 57070 68045 68484 81654 85605 108872 114140 136090 136968 163308 171210 176917 204135 228280 272180 326616 342420 353834 408270 530751 544360 684840 707668 816540 884585 1061502 1415336 1633080 1769170 2123004 2653755 3538340 4246008 5307510 7076680 10615020 21230040