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20213440 = 2651343113
BaseRepresentation
bin100110100011…
…0111011000000
31102000221121221
41031012323000
520133312230
62001124424
7333545212
oct115067300
942027557
1020213440
1110456725
126929714
134259620
1429825b2
151b9427a
hex1346ec0

20213440 has 112 divisors (see below), whose sum is σ = 53510688. Its totient is φ = 7225344.

The previous prime is 20213437. The next prime is 20213443. The reversal of 20213440 is 4431202.

It is an interprime number because it is at equal distance from previous prime (20213437) and next prime (20213443).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20213443) 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 15 ways as a sum of consecutive naturals, for example, 178824 + ... + 178936.

It is an arithmetic number, because the mean of its divisors is an integer number (477774).

Almost surely, 220213440 is an apocalyptic number.

20213440 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 20213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26755344).

20213440 is an abundant number, since it is smaller than the sum of its proper divisors (33297248).

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

20213440 is a wasteful number, since it uses less digits than its factorization.

20213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20213440 is about 4495.9359426042. The cubic root of 20213440 is about 272.4039557158.

Adding to 20213440 its reverse (4431202), we get a palindrome (24644642).

The spelling of 20213440 in words is "twenty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 113 130 160 172 208 215 226 260 320 344 416 430 452 520 559 565 688 832 860 904 1040 1118 1130 1376 1469 1720 1808 2080 2236 2260 2752 2795 2938 3440 3616 4160 4472 4520 4859 5590 5876 6880 7232 7345 8944 9040 9718 11180 11752 13760 14690 17888 18080 19436 22360 23504 24295 29380 35776 36160 38872 44720 47008 48590 58760 63167 77744 89440 94016 97180 117520 126334 155488 178880 194360 235040 252668 310976 315835 388720 470080 505336 631670 777440 1010672 1263340 1554880 2021344 2526680 4042688 5053360 10106720 20213440