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23060928 = 2631161179
BaseRepresentation
bin101011111111…
…0000111000000
31121101121122110
41113332013000
521400422203
62142135320
7400005012
oct127760700
947347573
1023060928
1112021020
127881540
134a15727
1430c41b2
152057d03
hex15fe1c0

23060928 has 112 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 6835200.

The previous prime is 23060923. The next prime is 23060929. The reversal of 23060928 is 82906032.

It is a junction number, because it is equal to n+sod(n) for n = 23060895 and 23060904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23060923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128743 + ... + 128921.

Almost surely, 223060928 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 23060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).

23060928 is an abundant number, since it is smaller than the sum of its proper divisors (44970432).

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

23060928 is a wasteful number, since it uses less digits than its factorization.

23060928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 23060928 is about 4802.1795051830. The cubic root of 23060928 is about 284.6375941463.

The spelling of 23060928 in words is "twenty-three million, sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 179 183 192 244 264 352 358 366 488 528 537 671 704 716 732 976 1056 1074 1342 1432 1464 1952 1969 2013 2112 2148 2684 2864 2928 3904 3938 4026 4296 5368 5728 5856 5907 7876 8052 8592 10736 10919 11456 11712 11814 15752 16104 17184 21472 21838 23628 31504 32208 32757 34368 42944 43676 47256 63008 64416 65514 87352 94512 120109 126016 128832 131028 174704 189024 240218 262056 349408 360327 378048 480436 524112 698816 720654 960872 1048224 1441308 1921744 2096448 2882616 3843488 5765232 7686976 11530464 23060928