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20052500 = 225413617
BaseRepresentation
bin100110001111…
…1101000010100
31101201202212012
41030133220110
520113140000
61553443352
7332305046
oct114375024
941652765
1020052500
1110356816
126870558
1342012b0
14293da96
151b61735
hex131fa14

20052500 has 60 divisors (see below), whose sum is σ = 47300484. Its totient is φ = 7392000.

The previous prime is 20052479. The next prime is 20052521. The reversal of 20052500 is 525002.

It is an interprime number because it is at equal distance from previous prime (20052479) and next prime (20052521).

It can be written as a sum of positive squares in 10 ways, for example, as 20052484 + 16 = 4478^2 + 4^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32192 + ... + 32808.

Almost surely, 220052500 is an apocalyptic number.

20052500 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 20052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650242).

20052500 is an abundant number, since it is smaller than the sum of its proper divisors (27247984).

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

20052500 is a wasteful number, since it uses less digits than its factorization.

20052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 20052500 is about 4478.0017865115. The cubic root of 20052500 is about 271.6790656809.

Adding to 20052500 its reverse (525002), we get a palindrome (20577502).

The spelling of 20052500 in words is "twenty million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 617 625 650 1234 1250 1300 1625 2468 2500 3085 3250 6170 6500 8021 8125 12340 15425 16042 16250 30850 32084 32500 40105 61700 77125 80210 154250 160420 200525 308500 385625 401050 771250 802100 1002625 1542500 2005250 4010500 5013125 10026250 20052500