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21793420 = 22511235973
BaseRepresentation
bin101001100100…
…0101010001100
31112000012221201
41103020222030
521034342140
62055035244
7353145445
oct123105214
945005851
1021793420
11113357a0
12736bb24
13469081c
142c742cc
151da749a
hex14c8a8c

21793420 has 96 divisors (see below), whose sum is σ = 53706240. Its totient is φ = 7349760.

The previous prime is 21793363. The next prime is 21793451. The reversal of 21793420 is 2439712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298504 + ... + 298576.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 221793420 is an apocalyptic number.

21793420 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 21793420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853120).

21793420 is an abundant number, since it is smaller than the sum of its proper divisors (31912820).

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

21793420 is a wasteful number, since it uses less digits than its factorization.

21793420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 21793420 is about 4668.3423182110. The cubic root of 21793420 is about 279.3241352144.

The spelling of 21793420 in words is "twenty-one million, seven hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 59 73 92 110 115 118 146 220 230 236 253 292 295 365 460 506 590 649 730 803 1012 1180 1265 1298 1357 1460 1606 1679 2530 2596 2714 3212 3245 3358 4015 4307 5060 5428 6490 6716 6785 8030 8395 8614 12980 13570 14927 16060 16790 17228 18469 21535 27140 29854 33580 36938 43070 47377 59708 73876 74635 86140 92345 94754 99061 149270 184690 189508 198122 236885 298540 369380 396244 473770 495305 947540 990610 1089671 1981220 2179342 4358684 5448355 10896710 21793420