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23023872 = 28333331
BaseRepresentation
bin101011111010…
…1000100000000
31121022201211000
41113311010000
521343230442
62141252000
7366461664
oct127650400
947281730
1023023872
1111aa61a3
127864000
134a018c1
1430b48a4
15204bd4c
hex15f5100

23023872 has 72 divisors (see below), whose sum is σ = 68106080. Its totient is φ = 7672320.

The previous prime is 23023853. The next prime is 23023873. The reversal of 23023872 is 27832032.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (23023873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5247 + ... + 8577.

Almost surely, 223023872 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 23023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34053040).

23023872 is an abundant number, since it is smaller than the sum of its proper divisors (45082208).

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

23023872 is an equidigital number, since it uses as much as digits as its factorization.

23023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23023872 is about 4798.3197058971. The cubic root of 23023872 is about 284.4850535192.

The spelling of 23023872 in words is "twenty-three million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3331 3456 6662 6912 9993 13324 19986 26648 29979 39972 53296 59958 79944 89937 106592 119916 159888 179874 213184 239832 319776 359748 426368 479664 639552 719496 852736 959328 1279104 1438992 1918656 2558208 2877984 3837312 5755968 7674624 11511936 23023872