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21390460 = 22572132373
BaseRepresentation
bin101000110011…
…0010001111100
31111020202012021
41101212101330
520433443320
62042245524
7346546600
oct121462174
944222167
1021390460
111108aa73
1271b68a4
13457c2a0
142bab500
151d27daa
hex146647c

21390460 has 144 divisors (see below), whose sum is σ = 59524416. Its totient is φ = 6386688.

The previous prime is 21390449. The next prime is 21390461. The reversal of 21390460 is 6409312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21390461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292984 + ... + 293056.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 221390460 is an apocalyptic number.

21390460 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 21390460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762208).

21390460 is an abundant number, since it is smaller than the sum of its proper divisors (38133956).

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

21390460 is a wasteful number, since it uses less digits than its factorization.

21390460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 21390460 is about 4624.9821621278. The cubic root of 21390460 is about 277.5918479613.

Adding to 21390460 its reverse (6409312), we get a palindrome (27799772).

The spelling of 21390460 in words is "twenty-one million, three hundred ninety thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 49 52 65 70 73 91 92 98 115 130 140 146 161 182 196 230 245 260 292 299 322 364 365 455 460 490 511 598 637 644 730 805 910 949 980 1022 1127 1196 1274 1460 1495 1610 1679 1820 1898 2044 2093 2254 2548 2555 2990 3185 3220 3358 3577 3796 4186 4508 4745 5110 5635 5980 6370 6643 6716 7154 8372 8395 9490 10220 10465 11270 11753 12740 13286 14308 14651 16790 17885 18980 20930 21827 22540 23506 26572 29302 33215 33580 35770 41860 43654 46501 47012 58604 58765 66430 71540 73255 82271 87308 93002 109135 117530 132860 146510 152789 164542 186004 218270 232505 235060 293020 305578 329084 411355 436540 465010 611156 763945 822710 930020 1069523 1527890 1645420 2139046 3055780 4278092 5347615 10695230 21390460