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253203960 = 23352110033
BaseRepresentation
bin11110001011110…
…01010111111000
3122122110002112110
433011321113320
51004310011320
641043012320
76163124652
oct1705712770
9578402473
10253203960
1111aa21979
127096a0a0
13405c4b39
14258b16d2
15173685e0
hexf1795f8

253203960 has 32 divisors (see below), whose sum is σ = 759612240. Its totient is φ = 67521024.

The previous prime is 253203917. The next prime is 253203961. The reversal of 253203960 is 69302352.

It is a super-2 number, since 2×2532039602 = 128224490719363200, 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 (253203961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054897 + ... + 1055136.

Almost surely, 2253203960 is an apocalyptic number.

253203960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253203960 is an abundant number, since it is smaller than the sum of its proper divisors (506408280).

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

253203960 is a wasteful number, since it uses less digits than its factorization.

253203960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110047 (or 2110043 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 253203960 is about 15912.3838566068. The cubic root of 253203960 is about 632.6402673908.

The spelling of 253203960 in words is "two hundred fifty-three million, two hundred three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2110033 4220066 6330099 8440132 10550165 12660198 16880264 21100330 25320396 31650495 42200660 50640792 63300990 84401320 126601980 253203960