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20295000 = 2332541141
BaseRepresentation
bin100110101101…
…0110101011000
31102012002111200
41031122311120
520143420000
62002554200
7334335045
oct115326530
942162450
1020295000
1110501a30
126968960
13428779b
1429a41cc
151bad500
hex135ad58

20295000 has 240 divisors, whose sum is σ = 76756680. Its totient is φ = 4800000.

The previous prime is 20294977. The next prime is 20295013. The reversal of 20295000 is 59202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 494980 + ... + 495020.

Almost surely, 220295000 is an apocalyptic number.

20295000 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 20295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378340).

20295000 is an abundant number, since it is smaller than the sum of its proper divisors (56461680).

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

20295000 is a wasteful number, since it uses less digits than its factorization.

20295000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20295000 is about 4504.9972253044. The cubic root of 20295000 is about 272.7698418400.

The spelling of 20295000 in words is "twenty million, two hundred ninety-five thousand".