Search a number
-
+
20288450 = 25274132
BaseRepresentation
bin100110101100…
…1001111000010
31102011202112002
41031121033002
520143212300
62002504002
7334310000
oct115311702
942152462
1020288450
11104a8016
126965002
134284800
1429a1a70
151bab5d5
hex13593c2

20288450 has 90 divisors (see below), whose sum is σ = 47670219. Its totient is φ = 6420960.

The previous prime is 20288441. The next prime is 20288459. The reversal of 20288450 is 5488202.

It is an interprime number because it is at equal distance from previous prime (20288441) and next prime (20288459).

It can be written as a sum of positive squares in 5 ways, for example, as 1270129 + 19018321 = 1127^2 + 4361^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3185.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20288459) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1560644 + ... + 1560656.

Almost surely, 220288450 is an apocalyptic number.

20288450 is an abundant number, since it is smaller than the sum of its proper divisors (27381769).

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

20288450 is an equidigital number, since it uses as much as digits as its factorization.

20288450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 20288450 is about 4504.2701961583. The cubic root of 20288450 is about 272.7404941402.

The spelling of 20288450 in words is "twenty million, two hundred eighty-eight thousand, four hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 49 50 65 70 91 98 130 169 175 182 245 325 338 343 350 455 490 637 650 686 845 910 1183 1225 1274 1690 1715 2275 2366 2401 2450 3185 3430 4225 4459 4550 4802 5915 6370 8281 8450 8575 8918 11830 12005 15925 16562 17150 22295 24010 29575 31213 31850 41405 44590 57967 59150 60025 62426 82810 111475 115934 120050 156065 207025 222950 289835 312130 405769 414050 579670 780325 811538 1449175 1560650 2028845 2898350 4057690 10144225 20288450