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23124096 = 27336691
BaseRepresentation
bin101100000110…
…1100010000000
31121111211022000
41120031202000
521404432341
62143344000
7400360122
oct130154200
947454260
1023124096
1112064526
1278b2000
134a383c8
1430dd212
15206b8b6
hex160d880

23124096 has 64 divisors (see below), whose sum is σ = 68258400. Its totient is φ = 7706880.

The previous prime is 23124077. The next prime is 23124103. The reversal of 23124096 is 69042132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 6801.

Almost surely, 223124096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34129200).

23124096 is an abundant number, since it is smaller than the sum of its proper divisors (45134304).

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

23124096 is an equidigital number, since it uses as much as digits as its factorization.

23124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23124096 is about 4808.7520210549. The cubic root of 23124096 is about 284.8972482777.

The spelling of 23124096 in words is "twenty-three million, one hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6691 13382 20073 26764 40146 53528 60219 80292 107056 120438 160584 180657 214112 240876 321168 361314 428224 481752 642336 722628 856448 963504 1284672 1445256 1927008 2569344 2890512 3854016 5781024 7708032 11562048 23124096