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23806128 = 243975113
BaseRepresentation
bin101101011010…
…0000010110000
31122210110212110
41122310002300
522043244003
62210125320
7406230423
oct132640260
948713773
1023806128
111248a995
127b80840
134c16988
1432399ba
152153a03
hex16b40b0

23806128 has 40 divisors (see below), whose sum is σ = 62145328. Its totient is φ = 7852032.

The previous prime is 23806061. The next prime is 23806141. The reversal of 23806128 is 82160832.

It is a junction number, because it is equal to n+sod(n) for n = 23806095 and 23806104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100 + ... + 7212.

Almost surely, 223806128 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 23806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072664).

23806128 is an abundant number, since it is smaller than the sum of its proper divisors (38339200).

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

23806128 is a wasteful number, since it uses less digits than its factorization.

23806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 23806128 is about 4879.1523854047. The cubic root of 23806128 is about 287.6711137636.

The spelling of 23806128 in words is "twenty-three million, eight hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 5113 10226 15339 20452 30678 40904 61356 81808 122712 245424 495961 991922 1487883 1983844 2975766 3967688 5951532 7935376 11903064 23806128