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20240200 = 2352175953
BaseRepresentation
bin100110100110…
…1011101001000
31102002022100001
41031031131020
520140141300
62001452344
7334016221
oct115153510
942068301
1020240200
1110474842
1269410b4
134268866
14298c248
151b9c16a
hex134d748

20240200 has 48 divisors (see below), whose sum is σ = 49834980. Its totient is φ = 7618560.

The previous prime is 20240197. The next prime is 20240219. The reversal of 20240200 is 204202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3740356 + 16499844 = 1934^2 + 4062^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 6376.

Almost surely, 220240200 is an apocalyptic number.

20240200 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 20240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917490).

20240200 is an abundant number, since it is smaller than the sum of its proper divisors (29594780).

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

20240200 is a wasteful number, since it uses less digits than its factorization.

20240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20240200 is about 4498.9109793371. The cubic root of 20240200 is about 272.5241119982.

Adding to 20240200 its reverse (204202), we get a palindrome (20444402).

The spelling of 20240200 in words is "twenty million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5953 11906 23812 29765 47624 59530 101201 119060 148825 202402 238120 297650 404804 506005 595300 809608 1012010 1190600 2024020 2530025 4048040 5060050 10120100 20240200