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253132460 = 22571808089
BaseRepresentation
bin11110001011001…
…11111010101100
3122122022110110022
433011213322230
51004300214320
641041301312
76162406340
oct1705477254
9578273408
10253132460
1111a983189
1270934838
134059b429
1425893620
1517352325
hexf167eac

253132460 has 24 divisors (see below), whose sum is σ = 607518240. Its totient is φ = 86788224.

The previous prime is 253132447. The next prime is 253132489. The reversal of 253132460 is 64231352.

It is an unprimeable number.

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, 903905 + ... + 904184.

It is an arithmetic number, because the mean of its divisors is an integer number (25313260).

Almost surely, 2253132460 is an apocalyptic number.

253132460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253132460 is an abundant number, since it is smaller than the sum of its proper divisors (354385780).

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

253132460 is a wasteful number, since it uses less digits than its factorization.

253132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808105 (or 1808103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 253132460 is about 15910.1370201516. The cubic root of 253132460 is about 632.5807132438.

The spelling of 253132460 in words is "two hundred fifty-three million, one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1808089 3616178 7232356 9040445 12656623 18080890 25313246 36161780 50626492 63283115 126566230 253132460