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23078656 = 28175303
BaseRepresentation
bin101100000001…
…0011100000000
31121102111222001
41120002130000
521402004111
62142353344
7400110466
oct130023400
947374861
1023078656
1112033377
12788b854
134a20813
1430ca836
15205d1c1
hex1602700

23078656 has 36 divisors (see below), whose sum is σ = 48786192. Its totient is φ = 10858496.

The previous prime is 23078647. The next prime is 23078677. The reversal of 23078656 is 65687032.

It is a super-3 number, since 3×230786563 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1701 + ... + 7003.

It is an arithmetic number, because the mean of its divisors is an integer number (1355172).

Almost surely, 223078656 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 23078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393096).

23078656 is an abundant number, since it is smaller than the sum of its proper divisors (25707536).

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

23078656 is an equidigital number, since it uses as much as digits as its factorization.

23078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 23078656 is about 4804.0249791191. The cubic root of 23078656 is about 284.7105134838.

The spelling of 23078656 in words is "twenty-three million, seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 5303 10606 21212 42424 84848 90151 169696 180302 339392 360604 678784 721208 1357568 1442416 2884832 5769664 11539328 23078656