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20066200 = 23527111303
BaseRepresentation
bin100110010001…
…0111110011000
31101202110122121
41030202332120
520114104300
61554031024
7332363020
oct114427630
941673577
1020066200
1110366040
126878474
1342075bb
142944a80
151b6581a
hex1322f98

20066200 has 96 divisors (see below), whose sum is σ = 58210560. Its totient is φ = 6249600.

The previous prime is 20066197. The next prime is 20066243. The reversal of 20066200 is 266002.

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, 14749 + ... + 16051.

It is an arithmetic number, because the mean of its divisors is an integer number (606360).

Almost surely, 220066200 is an apocalyptic number.

20066200 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 20066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29105280).

20066200 is an abundant number, since it is smaller than the sum of its proper divisors (38144360).

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

20066200 is a wasteful number, since it uses less digits than its factorization.

20066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20066200 is about 4479.5312254744. The cubic root of 20066200 is about 271.7409225714.

The spelling of 20066200 in words is "twenty million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1303 1400 1540 1925 2200 2606 3080 3850 5212 6515 7700 9121 10424 13030 14333 15400 18242 26060 28666 32575 36484 45605 52120 57332 65150 71665 72968 91210 100331 114664 130300 143330 182420 200662 228025 260600 286660 358325 364840 401324 456050 501655 573320 716650 802648 912100 1003310 1433300 1824200 2006620 2508275 2866600 4013240 5016550 10033100 20066200