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23146000 = 245371163
BaseRepresentation
bin101100001001…
…0111000010000
31121112221100021
41120102320100
521411133000
62144033224
7400511023
oct130227020
947487307
1023146000
1112079a29
127902814
134a45377
1431071ba
15207311a
hex1612e10

23146000 has 80 divisors (see below), whose sum is σ = 57103488. Its totient is φ = 9072000.

The previous prime is 23145989. The next prime is 23146007. The reversal of 23146000 is 64132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23146007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141919 + ... + 142081.

Almost surely, 223146000 is an apocalyptic number.

23146000 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 23146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551744).

23146000 is an abundant number, since it is smaller than the sum of its proper divisors (33957488).

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

23146000 is a wasteful number, since it uses less digits than its factorization.

23146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

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

The square root of 23146000 is about 4811.0289959633. The cubic root of 23146000 is about 284.9871749641.

The spelling of 23146000 in words is "twenty-three million, one hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 163 200 250 284 326 355 400 500 568 652 710 815 1000 1136 1304 1420 1630 1775 2000 2608 2840 3260 3550 4075 5680 6520 7100 8150 8875 11573 13040 14200 16300 17750 20375 23146 28400 32600 35500 40750 46292 57865 65200 71000 81500 92584 115730 142000 163000 185168 231460 289325 326000 462920 578650 925840 1157300 1446625 2314600 2893250 4629200 5786500 11573000 23146000