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20906200 = 23527109137
BaseRepresentation
bin100111111000…
…0000011011000
31110100010220201
41033300003120
520322444300
62024031544
7342462010
oct117600330
943303821
1020906200
111088a157
1270025b4
13443ca43
142ac2c40
151c7e66a
hex13f00d8

20906200 has 96 divisors (see below), whose sum is σ = 56469600. Its totient is φ = 7050240.

The previous prime is 20906191. The next prime is 20906201. The reversal of 20906200 is 260902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20906201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 152532 + ... + 152668.

It is an arithmetic number, because the mean of its divisors is an integer number (588225).

Almost surely, 220906200 is an apocalyptic number.

20906200 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 20906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234800).

20906200 is an abundant number, since it is smaller than the sum of its proper divisors (35563400).

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

20906200 is a wasteful number, since it uses less digits than its factorization.

20906200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 20906200 is about 4572.3298218742. The cubic root of 20906200 is about 275.4810313652.

The spelling of 20906200 in words is "twenty million, nine hundred six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 137 140 175 200 218 274 280 350 436 545 548 685 700 763 872 959 1090 1096 1370 1400 1526 1918 2180 2725 2740 3052 3425 3815 3836 4360 4795 5450 5480 6104 6850 7630 7672 9590 10900 13700 14933 15260 19075 19180 21800 23975 27400 29866 30520 38150 38360 47950 59732 74665 76300 95900 104531 119464 149330 152600 191800 209062 298660 373325 418124 522655 597320 746650 836248 1045310 1493300 2090620 2613275 2986600 4181240 5226550 10453100 20906200