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21386560 = 265135397
BaseRepresentation
bin101000110010…
…1010101000000
31111020112211211
41101211111000
520433332220
62042215504
7346532326
oct121452500
944215754
1021386560
1111088048
1271b4594
13457a590
142ba9d16
151d26b5a
hex1465540

21386560 has 112 divisors (see below), whose sum is σ = 56455056. Its totient is φ = 7667712.

The previous prime is 21386557. The next prime is 21386567. The reversal of 21386560 is 6568312.

It can be written as a sum of positive squares in 8 ways, for example, as 665856 + 20720704 = 816^2 + 4552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21386567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220432 + ... + 220528.

It is an arithmetic number, because the mean of its divisors is an integer number (504063).

Almost surely, 221386560 is an apocalyptic number.

21386560 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 21386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28227528).

21386560 is an abundant number, since it is smaller than the sum of its proper divisors (35068496).

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

21386560 is a wasteful number, since it uses less digits than its factorization.

21386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 21386560 is about 4624.5605196602. The cubic root of 21386560 is about 277.5749763589.

The spelling of 21386560 in words is "twenty-one million, three hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 97 104 106 130 160 194 208 212 260 265 320 388 416 424 485 520 530 689 776 832 848 970 1040 1060 1261 1378 1552 1696 1940 2080 2120 2522 2756 3104 3392 3445 3880 4160 4240 5044 5141 5512 6208 6305 6890 7760 8480 10088 10282 11024 12610 13780 15520 16960 20176 20564 22048 25220 25705 27560 31040 40352 41128 44096 50440 51410 55120 66833 80704 82256 100880 102820 110240 133666 164512 201760 205640 220480 267332 329024 334165 403520 411280 534664 668330 822560 1069328 1336660 1645120 2138656 2673320 4277312 5346640 10693280 21386560