Search a number
-
+
1253453520 = 2435112172539
BaseRepresentation
bin100101010110110…
…0010111011010000
310020100121000222110
41022231202323100
510031341003040
6324213505320
743030115304
oct11255427320
93210530873
101253453520
115935a6200
122ab942240
1316c8bb797
14bc685d04
1575098980
hex4ab62ed0

1253453520 has 240 divisors, whose sum is σ = 4524085440. Its totient is φ = 285880320.

The previous prime is 1253453491. The next prime is 1253453521. The reversal of 1253453520 is 253543521.

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

It is a super-2 number, since 2×12534535202 = 3142291453600780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253453521) 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, 492411 + ... + 494949.

It is an arithmetic number, because the mean of its divisors is an integer number (18850356).

Almost surely, 21253453520 is an apocalyptic number.

1253453520 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 1253453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262042720).

1253453520 is an abundant number, since it is smaller than the sum of its proper divisors (3270631920).

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

1253453520 is a wasteful number, since it uses less digits than its factorization.

1253453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1253453520 is about 35404.1455199811. The cubic root of 1253453520 is about 1078.2084839029.

Subtracting from 1253453520 its reverse (253543521), we obtain a palindrome (999909999).

The spelling of 1253453520 in words is "one billion, two hundred fifty-three million, four hundred fifty-three thousand, five hundred twenty".