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20321400 = 23352113079
BaseRepresentation
bin100110110000…
…1010001111000
31102020102201110
41031201101320
520200241100
62003320320
7334505031
oct115412170
942212643
1020321400
111051a850
1269800a0
1342967c8
1429ada88
151bb6250
hex1361478

20321400 has 96 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4924800.

The previous prime is 20321387. The next prime is 20321401. The reversal of 20321400 is 412302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321401) 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 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 8139.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 220321400 is an apocalyptic number.

20321400 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 20321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

20321400 is an abundant number, since it is smaller than the sum of its proper divisors (48424200).

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

20321400 is a wasteful number, since it uses less digits than its factorization.

20321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20321400 is about 4507.9263525484. The cubic root of 20321400 is about 272.8880647790. Note that the first 3 decimals are identical.

Adding to 20321400 its reverse (412302), we get a palindrome (20733702).

The spelling of 20321400 in words is "twenty million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3079 3300 6158 6600 9237 12316 15395 18474 24632 30790 33869 36948 46185 61580 67738 73896 76975 92370 101607 123160 135476 153950 169345 184740 203214 230925 270952 307900 338690 369480 406428 461850 508035 615800 677380 812856 846725 923700 1016070 1354760 1693450 1847400 2032140 2540175 3386900 4064280 5080350 6773800 10160700 20321400