Search a number
-
+
1253505120 = 25357537039
BaseRepresentation
bin100101010110110…
…1111100001100000
310020100200122202120
41022231233201200
510031344130440
6324214544240
743030421610
oct11255574140
93210618676
101253505120
11593630a4a
122ab968080
1316c90910a
14bc69aa40
15750a8dd0
hex4ab6f860

1253505120 has 192 divisors, whose sum is σ = 4598415360. Its totient is φ = 281069568.

The previous prime is 1253505061. The next prime is 1253505131. The reversal of 1253505120 is 215053521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174561 + ... + 181599.

It is an arithmetic number, because the mean of its divisors is an integer number (23950080).

Almost surely, 21253505120 is an apocalyptic number.

1253505120 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 1253505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299207680).

1253505120 is an abundant number, since it is smaller than the sum of its proper divisors (3344910240).

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

1253505120 is a wasteful number, since it uses less digits than its factorization.

1253505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1253505120 is about 35404.8742407031. The cubic root of 1253505120 is about 1078.2232789720.

Adding to 1253505120 its reverse (215053521), we get a palindrome (1468558641).

The spelling of 1253505120 in words is "one billion, two hundred fifty-three million, five hundred five thousand, one hundred twenty".