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20561200 = 2452114673
BaseRepresentation
bin100111001101…
…1110100110000
31102200121122221
41032123310300
520230424300
62012410424
7336524122
oct116336460
942617587
1020561200
1110673a30
126a76a14
13434b9ba
142a33212
151c1231a
hex139bd30

20561200 has 60 divisors (see below), whose sum is σ = 53900568. Its totient is φ = 7475200.

The previous prime is 20561179. The next prime is 20561201. The reversal of 20561200 is 216502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20561201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064 + ... + 6736.

Almost surely, 220561200 is an apocalyptic number.

20561200 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 20561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26950284).

20561200 is an abundant number, since it is smaller than the sum of its proper divisors (33339368).

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

20561200 is a wasteful number, since it uses less digits than its factorization.

20561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20561200 is about 4534.4459418985. The cubic root of 20561200 is about 273.9572633010.

Adding to 20561200 its reverse (216502), we get a palindrome (20777702).

The spelling of 20561200 in words is "twenty million, five hundred sixty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4673 9346 18692 23365 37384 46730 51403 74768 93460 102806 116825 186920 205612 233650 257015 373840 411224 467300 514030 822448 934600 1028060 1285075 1869200 2056120 2570150 4112240 5140300 10280600 20561200