Search a number
-
+
1360200240 = 243257733697
BaseRepresentation
bin101000100010011…
…0000001000110000
310111210110022221200
41101010300020300
510241202401430
6342545451200
745464340240
oct12104601060
93453408850
101360200240
11638885633
1231b640b00
13188a55119
14cc911b20
157e632460
hex51130230

1360200240 has 240 divisors, whose sum is σ = 5293524288. Its totient is φ = 306561024.

The previous prime is 1360200239. The next prime is 1360200241. The reversal of 1360200240 is 420020631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1360200239) and next prime (1360200241).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360200241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366072 + ... + 369768.

Almost surely, 21360200240 is an apocalyptic number.

1360200240 is a gapful number since it is divisible by the number (10) 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 1360200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646762144).

1360200240 is an abundant number, since it is smaller than the sum of its proper divisors (3933324048).

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

1360200240 is a wasteful number, since it uses less digits than its factorization.

1360200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1360200240 is about 36880.8926139268. The cubic root of 1360200240 is about 1107.9860242300.

Adding to 1360200240 its reverse (420020631), we get a palindrome (1780220871).

The spelling of 1360200240 in words is "one billion, three hundred sixty million, two hundred thousand, two hundred forty".