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23083000 = 235341563
BaseRepresentation
bin101100000001…
…1011111111000
31121102201220221
41120003133320
521402124000
62142425424
7400126243
oct130033770
947381827
1023083000
1112036666
127892274
134a227a5
1430cc25a
15205e61a
hex16037f8

23083000 has 64 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 8992000.

The previous prime is 23082973. The next prime is 23083069. The reversal of 23083000 is 38032.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40719 + ... + 41281.

Almost surely, 223083000 is an apocalyptic number.

23083000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).

23083000 is an abundant number, since it is smaller than the sum of its proper divisors (32346920).

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

23083000 is a wasteful number, since it uses less digits than its factorization.

23083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23083000 is about 4804.4770787256. The cubic root of 23083000 is about 284.7283756574.

The spelling of 23083000 in words is "twenty-three million, eighty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 563 820 1000 1025 1126 1640 2050 2252 2815 4100 4504 5125 5630 8200 10250 11260 14075 20500 22520 23083 28150 41000 46166 56300 70375 92332 112600 115415 140750 184664 230830 281500 461660 563000 577075 923320 1154150 2308300 2885375 4616600 5770750 11541500 23083000