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20028600 = 2333523709
BaseRepresentation
bin100110001100…
…1110010111000
31101200120002000
41030121302320
520111403400
61553141000
7332145264
oct114316270
941616060
1020028600
111033a869
12685a760
1341c3457
1429350a4
151b59600
hex1319cb8

20028600 has 96 divisors (see below), whose sum is σ = 69006000. Its totient is φ = 5339520.

The previous prime is 20028599. The next prime is 20028611. The reversal of 20028600 is 682002.

It is a super-2 number, since 2×200286002 = 802289635920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3546 + ... + 7254.

Almost surely, 220028600 is an apocalyptic number.

20028600 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 20028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34503000).

20028600 is an abundant number, since it is smaller than the sum of its proper divisors (48977400).

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

20028600 is a wasteful number, since it uses less digits than its factorization.

20028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20028600 is about 4475.3323898902. The cubic root of 20028600 is about 271.5710872736.

The spelling of 20028600 in words is "twenty million, twenty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 3709 5400 7418 11127 14836 18545 22254 29672 33381 37090 44508 55635 66762 74180 89016 92725 100143 111270 133524 148360 166905 185450 200286 222540 267048 278175 333810 370900 400572 445080 500715 556350 667620 741800 801144 834525 1001430 1112700 1335240 1669050 2002860 2225400 2503575 3338100 4005720 5007150 6676200 10014300 20028600