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23053000 = 235323053
BaseRepresentation
bin101011111110…
…0001011001000
31121101012202211
41113330023020
521400144000
62142034504
7366642625
oct127741310
947335684
1023053000
1112016073
127878a34
134a11c39
1430c134c
1520557ba
hex15fc2c8

23053000 has 32 divisors (see below), whose sum is σ = 53946360. Its totient is φ = 9220800.

The previous prime is 23052989. The next prime is 23053013. The reversal of 23053000 is 35032.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 13205956 = 3138^2 + 3634^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10527 + ... + 12526.

Almost surely, 223053000 is an apocalyptic number.

23053000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23053000 is an abundant number, since it is smaller than the sum of its proper divisors (30893360).

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

23053000 is a wasteful number, since it uses less digits than its factorization.

23053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 23060 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 23053000 is about 4801.3539757031. The cubic root of 23053000 is about 284.6049723673.

Adding to 23053000 its reverse (35032), we get a palindrome (23088032).

The spelling of 23053000 in words is "twenty-three million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 23053 46106 92212 115265 184424 230530 461060 576325 922120 1152650 2305300 2881625 4610600 5763250 11526500 23053000