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21865740 = 22351317297
BaseRepresentation
bin101001101101…
…0010100001100
31112010220011020
41103122110030
521044200430
62100354140
7353566341
oct123322414
945126136
1021865740
1111385066
1273a5950
1346b7710
142c927c8
151dbdb10
hex14da50c

21865740 has 144 divisors (see below), whose sum is σ = 70762272. Its totient is φ = 5013504.

The previous prime is 21865721. The next prime is 21865741. The reversal of 21865740 is 4756812.

It is a super-2 number, since 2×218657402 = 956221171495200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21865741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225372 + ... + 225468.

Almost surely, 221865740 is an apocalyptic number.

21865740 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 21865740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35381136).

21865740 is an abundant number, since it is smaller than the sum of its proper divisors (48896532).

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

21865740 is a wasteful number, since it uses less digits than its factorization.

21865740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 21865740 is about 4676.0816930417. The cubic root of 21865740 is about 279.6327668664.

The spelling of 21865740 in words is "twenty-one million, eight hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 97 102 130 156 170 194 195 204 221 255 260 289 291 340 388 390 442 485 510 578 582 663 780 867 884 970 1020 1105 1156 1164 1261 1326 1445 1455 1649 1734 1940 2210 2522 2652 2890 2910 3298 3315 3468 3757 3783 4335 4420 4947 5044 5780 5820 6305 6596 6630 7514 7566 8245 8670 9894 11271 12610 13260 15028 15132 16490 17340 18785 18915 19788 21437 22542 24735 25220 28033 32980 37570 37830 42874 45084 49470 56066 56355 64311 75140 75660 84099 85748 98940 107185 112132 112710 128622 140165 168198 214370 225420 257244 280330 321555 336396 364429 420495 428740 560660 643110 728858 840990 1093287 1286220 1457716 1681980 1822145 2186574 3644290 4373148 5466435 7288580 10932870 21865740