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20342560 = 255741443
BaseRepresentation
bin100110110011…
…0011100100000
31102021111202011
41031212130200
520201430220
62004002304
7334623520
oct115463440
942244664
1020342560
1110534737
126990394
1342a3324
1429b7680
151bbc65a
hex1366720

20342560 has 96 divisors (see below), whose sum is σ = 56391552. Its totient is φ = 6789120.

The previous prime is 20342537. The next prime is 20342573. The reversal of 20342560 is 6524302.

It is a happy number.

20342560 is nontrivially palindromic in base 3.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45699 + ... + 46141.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 220342560 is an apocalyptic number.

20342560 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 20342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195776).

20342560 is an abundant number, since it is smaller than the sum of its proper divisors (36048992).

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

20342560 is a wasteful number, since it uses less digits than its factorization.

20342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 20342560 is about 4510.2727190271. The cubic root of 20342560 is about 272.9827483541.

Adding to 20342560 its reverse (6524302), we get a palindrome (26866862).

It can be divided in two parts, 20342 and 560, that added together give a palindrome (20902).

The spelling of 20342560 in words is "twenty million, three hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 443 560 574 656 820 886 1120 1148 1312 1435 1640 1772 2215 2296 2870 3101 3280 3544 4430 4592 5740 6202 6560 7088 8860 9184 11480 12404 14176 15505 17720 18163 22960 24808 31010 35440 36326 45920 49616 62020 70880 72652 90815 99232 124040 127141 145304 181630 248080 254282 290608 363260 496160 508564 581216 635705 726520 1017128 1271410 1453040 2034256 2542820 2906080 4068512 5085640 10171280 20342560