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253135320 = 23352109461
BaseRepresentation
bin11110001011010…
…00100111011000
3122122022121101020
433011220213120
51004300312240
641041322440
76162420564
oct1705504730
9578277336
10253135320
1111a985349
1270936420
134059c819
14258946a4
15173530d0
hexf1689d8

253135320 has 32 divisors (see below), whose sum is σ = 759406320. Its totient is φ = 67502720.

The previous prime is 253135319. The next prime is 253135397. The reversal of 253135320 is 23531352.

It is a happy number.

253135320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1054611 + ... + 1054850.

Almost surely, 2253135320 is an apocalyptic number.

253135320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253135320 is an abundant number, since it is smaller than the sum of its proper divisors (506271000).

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

253135320 is a wasteful number, since it uses less digits than its factorization.

253135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109475 (or 2109471 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 253135320 is about 15910.2268997020. The cubic root of 253135320 is about 632.5830956250.

Adding to 253135320 its reverse (23531352), we get a palindrome (276666672).

The spelling of 253135320 in words is "two hundred fifty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2109461 4218922 6328383 8437844 10547305 12656766 16875688 21094610 25313532 31641915 42189220 50627064 63283830 84378440 126567660 253135320