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253023 = 31923193
BaseRepresentation
bin111101110001011111
3110212002020
4331301133
531044043
65231223
72102451
oct756137
9425066
10253023
11163111
12102513
138b224
14682d1
154ee83
hex3dc5f

253023 has 16 divisors (see below), whose sum is σ = 372480. Its totient is φ = 152064.

The previous prime is 253013. The next prime is 253049. The reversal of 253023 is 320352.

It is not a de Polignac number, because 253023 - 28 = 252767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252993 and 253011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (23280).

2253023 is an apocalyptic number.

253023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

253023 is a deficient number, since it is larger than the sum of its proper divisors (119457).

253023 is a wasteful number, since it uses less digits than its factorization.

253023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 253023 is about 503.0139163085. The cubic root of 253023 is about 63.2489519529.

Adding to 253023 its reverse (320352), we get a palindrome (573375).

The spelling of 253023 in words is "two hundred fifty-three thousand, twenty-three".

Divisors: 1 3 19 23 57 69 193 437 579 1311 3667 4439 11001 13317 84341 253023