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21890440 = 23511134389
BaseRepresentation
bin101001110000…
…0010110001000
31112012011001001
41103200112020
521100443230
62101104344
7354031345
oct123402610
945164031
1021890440
11113a1680
1273b80b4
1346c5a30
142c9b7cc
151dc60ca
hex14e0588

21890440 has 128 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 7096320.

The previous prime is 21890423. The next prime is 21890461. The reversal of 21890440 is 4409812.

It is a junction number, because it is equal to n+sod(n) for n = 21890399 and 21890408.

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, 245916 + ... + 246004.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 221890440 is an apocalyptic number.

21890440 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 21890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

21890440 is an abundant number, since it is smaller than the sum of its proper divisors (37984760).

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

21890440 is a wasteful number, since it uses less digits than its factorization.

21890440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 21890440 is about 4678.7220477391. The cubic root of 21890440 is about 279.7380202633.

The spelling of 21890440 in words is "twenty-one million, eight hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 43 44 52 55 65 86 88 89 104 110 130 143 172 178 215 220 260 286 344 356 430 440 445 473 520 559 572 712 715 860 890 946 979 1118 1144 1157 1430 1720 1780 1892 1958 2236 2314 2365 2795 2860 3560 3784 3827 3916 4472 4628 4730 4895 5590 5720 5785 6149 7654 7832 9256 9460 9790 11180 11570 12298 12727 15308 18920 19135 19580 22360 23140 24596 25454 30616 30745 38270 39160 42097 46280 49192 49751 50908 61490 63635 76540 84194 99502 101816 122980 127270 153080 168388 199004 210485 245960 248755 254540 336776 398008 420970 497510 509080 547261 841940 995020 1094522 1683880 1990040 2189044 2736305 4378088 5472610 10945220 21890440