Search a number
-
+
23780928 = 263294271
BaseRepresentation
bin101101010110…
…1111001000000
31122202012022010
41122231321000
522041442203
62205412520
7406064103
oct132557100
948665263
1023780928
1112472a66
127b6a140
134c08372
14323073a
15214b303
hex16ade40

23780928 has 56 divisors (see below), whose sum is σ = 65105280. Its totient is φ = 7651840.

The previous prime is 23780921. The next prime is 23780929. The reversal of 23780928 is 82908732.

It is not an unprimeable number, because it can be changed into a prime (23780921) 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, 3433 + ... + 7703.

Almost surely, 223780928 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 23780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32552640).

23780928 is an abundant number, since it is smaller than the sum of its proper divisors (41324352).

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

23780928 is a wasteful number, since it uses less digits than its factorization.

23780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 23780928 is about 4876.5692858812. The cubic root of 23780928 is about 287.5695730805.

The spelling of 23780928 in words is "twenty-three million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 4271 5568 8542 12813 17084 25626 34168 51252 68336 102504 123859 136672 205008 247718 273344 371577 410016 495436 743154 820032 990872 1486308 1981744 2972616 3963488 5945232 7926976 11890464 23780928