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20281200 = 2435216901
BaseRepresentation
bin100110101011…
…1011101110000
31102011101120120
41031113131300
520142444300
62002410240
7334246602
oct115273560
942141516
1020281200
11104a2625
126960980
134281414
14299d172
151ba93a0
hex1357770

20281200 has 60 divisors (see below), whose sum is σ = 64971288. Its totient is φ = 5408000.

The previous prime is 20281199. The next prime is 20281211. The reversal of 20281200 is 218202.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×202812002 = 822654146880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20281200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7251 + ... + 9650.

Almost surely, 220281200 is an apocalyptic number.

20281200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20281200 is an abundant number, since it is smaller than the sum of its proper divisors (44690088).

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

20281200 is a wasteful number, since it uses less digits than its factorization.

20281200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16922 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20281200 is about 4503.4653323857. The cubic root of 20281200 is about 272.7080026789.

Adding to 20281200 its reverse (218202), we get a palindrome (20499402).

It can be divided in two parts, 2028 and 1200, that multiplied together give a square (2433600 = 15602).

The spelling of 20281200 in words is "twenty million, two hundred eighty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16901 33802 50703 67604 84505 101406 135208 169010 202812 253515 270416 338020 405624 422525 507030 676040 811248 845050 1014060 1267575 1352080 1690100 2028120 2535150 3380200 4056240 5070300 6760400 10140600 20281200