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20203320 = 2335315431
BaseRepresentation
bin100110100010…
…0011100111000
31102000102202010
41031010130320
520133001240
62001005520
7333503544
oct115043470
942012663
1020203320
111044a065
1269238a0
134254b37
14297ca24
151b91280
hex1344738

20203320 has 64 divisors (see below), whose sum is σ = 62576640. Its totient is φ = 5212800.

The previous prime is 20203307. The next prime is 20203349. The reversal of 20203320 is 2330202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20203296 and 20203305.

It is a congruent number.

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, 1005 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (977760).

Almost surely, 220203320 is an apocalyptic number.

20203320 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 20203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31288320).

20203320 is an abundant number, since it is smaller than the sum of its proper divisors (42373320).

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

20203320 is a wasteful number, since it uses less digits than its factorization.

20203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20203320 is about 4494.8103408264. The cubic root of 20203320 is about 272.3584878122.

Adding to 20203320 its reverse (2330202), we get a palindrome (22533522).

The spelling of 20203320 in words is "twenty million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5431 10862 16293 21724 27155 32586 43448 54310 65172 81465 108620 130344 162930 168361 217240 325860 336722 505083 651720 673444 841805 1010166 1346888 1683610 2020332 2525415 3367220 4040664 5050830 6734440 10101660 20203320