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20010240 = 28345193
BaseRepresentation
bin100110001010…
…1010100000000
31101122121220000
41030111110000
520110311430
61552520000
7332040615
oct114252400
941577800
1020010240
1110327a98
126850000
1341b7ca3
14292c50c
151b53e60
hex1315500

20010240 has 180 divisors, whose sum is σ = 71971284. Its totient is φ = 5308416.

The previous prime is 20010239. The next prime is 20010259. The reversal of 20010240 is 4201002.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 14017536 = 2448^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 103584 + ... + 103776.

Almost surely, 220010240 is an apocalyptic number.

20010240 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 20010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985642).

20010240 is an abundant number, since it is smaller than the sum of its proper divisors (51961044).

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

20010240 is an equidigital number, since it uses as much as digits as its factorization.

20010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20010240 is about 4473.2806752986. The cubic root of 20010240 is about 271.4880798161.

Adding to 20010240 its reverse (4201002), we get a palindrome (24211242).

It can be divided in two parts, 200 and 10240, that added together give a triangular number (10440 = T144).

The spelling of 20010240 in words is "twenty million, ten thousand, two hundred forty".