Search a number
-
+
23278068 = 223211292027
BaseRepresentation
bin101100011001…
…1000111110100
31121210122111200
41120303013310
521424344233
62150532500
7401601042
oct130630764
947718450
1023278068
111215a180
127967130
134a90508
14313d392
15209c313
hex16331f4

23278068 has 72 divisors (see below), whose sum is σ = 66437280. Its totient is φ = 6807360.

The previous prime is 23278067. The next prime is 23278091. The reversal of 23278068 is 86087232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23278063) 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 23 ways as a sum of consecutive naturals, for example, 10471 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 223278068 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 23278068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640).

23278068 is an abundant number, since it is smaller than the sum of its proper divisors (43159212).

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

23278068 is a wasteful number, since it uses less digits than its factorization.

23278068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23278068 is about 4824.7350186306. The cubic root of 23278068 is about 285.5281802792.

The spelling of 23278068 in words is "twenty-three million, two hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2027 2871 3828 4054 5742 6081 8108 11484 12162 18243 22297 24324 36486 44594 58783 66891 72972 89188 117566 133782 176349 200673 235132 267564 352698 401346 529047 646613 705396 802692 1058094 1293226 1939839 2116188 2586452 3879678 5819517 7759356 11639034 23278068