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23072896 = 277112341
BaseRepresentation
bin101100000000…
…1000010000000
31121102020001201
41120001002000
521401313041
62142310544
7400054630
oct130010200
947366051
1023072896
111202a010
127888454
134a1b002
1430c86c0
15205b631
hex1601080

23072896 has 64 divisors (see below), whose sum is σ = 57332160. Its totient is φ = 8985600.

The previous prime is 23072879. The next prime is 23072909. The reversal of 23072896 is 69827032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8686 + ... + 11026.

It is an arithmetic number, because the mean of its divisors is an integer number (895815).

Almost surely, 223072896 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 23072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666080).

23072896 is an abundant number, since it is smaller than the sum of its proper divisors (34259264).

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

23072896 is a wasteful number, since it uses less digits than its factorization.

23072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 23072896 is about 4803.4254444094. The cubic root of 23072896 is about 284.6868253770.

The spelling of 23072896 in words is "twenty-three million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2341 2464 4682 4928 9364 9856 16387 18728 25751 32774 37456 51502 65548 74912 103004 131096 149824 180257 206008 262192 299648 360514 412016 524384 721028 824032 1048768 1442056 1648064 2097536 2884112 3296128 5768224 11536448 23072896