Search a number
-
+
1013602240 = 26572127509
BaseRepresentation
bin111100011010100…
…101011111000000
32121122021022212201
4330122211133000
54033440232430
6244325002544
734055322400
oct7432453700
92548238781
101013602240
11480174402
12243553454
13131cc0551
149888c800
155debb8ca
hex3c6a57c0

1013602240 has 168 divisors, whose sum is σ = 2835371520. Its totient is φ = 344107008.

The previous prime is 1013602231. The next prime is 1013602273. The reversal of 1013602240 is 422063101.

1013602240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1991106 + ... + 1991614.

Almost surely, 21013602240 is an apocalyptic number.

1013602240 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 1013602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417685760).

1013602240 is an abundant number, since it is smaller than the sum of its proper divisors (1821769280).

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

1013602240 is a wasteful number, since it uses less digits than its factorization.

1013602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1013602240 is about 31837.1204728066. The cubic root of 1013602240 is about 1004.5136760755.

Adding to 1013602240 its reverse (422063101), we get a palindrome (1435665341).

The spelling of 1013602240 in words is "one billion, thirteen million, six hundred two thousand, two hundred forty".