Search a number
-
+
23268128 = 251355933
BaseRepresentation
bin101100011000…
…0101100100000
31121210010212112
41120300230200
521424040003
62150414452
7401530052
oct130605440
947703775
1023268128
1112152764
127961428
134a88b30
1431398d2
1520993d8
hex1630b20

23268128 has 24 divisors (see below), whose sum is σ = 49333788. Its totient is φ = 10738944.

The previous prime is 23268127. The next prime is 23268139. The reversal of 23268128 is 82186232.

It can be written as a sum of positive squares in 2 ways, for example, as 20539024 + 2729104 = 4532^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23268094 and 23268103.

It is not an unprimeable number, because it can be changed into a prime (23268127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27551 + ... + 28382.

Almost surely, 223268128 is an apocalyptic number.

It is an amenable number.

23268128 is an abundant number, since it is smaller than the sum of its proper divisors (26065660).

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

23268128 is a wasteful number, since it uses less digits than its factorization.

23268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55956 (or 55948 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 23268128 is about 4823.7048002547. The cubic root of 23268128 is about 285.4875332321.

The spelling of 23268128 in words is "twenty-three million, two hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 55933 111866 223732 447464 727129 894928 1454258 1789856 2908516 5817032 11634064 23268128