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20420320 = 2552331179
BaseRepresentation
bin100110111100…
…1011011100000
31102102110102011
41031321123200
520211422240
62005402304
7335366314
oct115713340
942373364
1020420320
11105880a8
126a09394
1342cc83b
1429d7b44
151bd56ea
hex13796e0

20420320 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 7518720.

The previous prime is 20420311. The next prime is 20420329. The reversal of 20420320 is 2302402.

It is an interprime number because it is at equal distance from previous prime (20420311) and next prime (20420329).

It is a self number, because there is not a number n which added to its sum of digits gives 20420320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113991 + ... + 114169.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 220420320 is an apocalyptic number.

20420320 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 20420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

20420320 is an abundant number, since it is smaller than the sum of its proper divisors (31834400).

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

20420320 is a wasteful number, since it uses less digits than its factorization.

20420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20420320 is about 4518.8848181825. The cubic root of 20420320 is about 273.3301341419.

Adding to 20420320 its reverse (2302402), we get a palindrome (22722722).

The spelling of 20420320 in words is "twenty million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 179 184 230 248 310 358 368 460 496 620 713 716 736 895 920 992 1240 1426 1432 1790 1840 2480 2852 2864 3565 3580 3680 4117 4960 5549 5704 5728 7130 7160 8234 11098 11408 14260 14320 16468 20585 22196 22816 27745 28520 28640 32936 41170 44392 55490 57040 65872 82340 88784 110980 114080 127627 131744 164680 177568 221960 255254 329360 443920 510508 638135 658720 887840 1021016 1276270 2042032 2552540 4084064 5105080 10210160 20420320