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20642850 = 235521699
BaseRepresentation
bin100111010111…
…1110000100010
31102211202200000
41032233300202
520241032400
62014240430
7340314144
oct116576042
942752600
1020642850
111071a308
126ab6116
134379c07
142a54c94
151c2b600
hex13afc22

20642850 has 72 divisors (see below), whose sum is σ = 57548400. Its totient is φ = 5501520.

The previous prime is 20642837. The next prime is 20642851. The reversal of 20642850 is 5824602.

It is a super-2 number, since 2×206428502 = 852254512245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20642851) 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 35 ways as a sum of consecutive naturals, for example, 11301 + ... + 12999.

Almost surely, 220642850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20642850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28774200).

20642850 is an abundant number, since it is smaller than the sum of its proper divisors (36905550).

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

20642850 is a wasteful number, since it uses less digits than its factorization.

20642850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20642850 is about 4543.4403264487. The cubic root of 20642850 is about 274.3194189887.

The spelling of 20642850 in words is "twenty million, six hundred forty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 1699 2025 2430 3398 4050 5097 6075 8495 10194 12150 15291 16990 25485 30582 42475 45873 50970 76455 84950 91746 127425 137619 152910 229365 254850 275238 382275 412857 458730 688095 764550 825714 1146825 1376190 2064285 2293650 3440475 4128570 6880950 10321425 20642850