Search a number
-
+
23279076 = 223471849
BaseRepresentation
bin101100011001…
…1010111100100
31121210200220000
41120303113210
521424412301
62150541300
7401604012
oct130632744
947720800
1023279076
111215aa07
127967830
134a90b02
14313d8b2
15209c786
hex16335e4

23279076 has 30 divisors (see below), whose sum is σ = 60856950. Its totient is φ = 7759584.

The previous prime is 23279071. The next prime is 23279089. The reversal of 23279076 is 67097232.

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 8100 = 4824^2 + 90^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 23279076.

It is not an unprimeable number, because it can be changed into a prime (23279071) 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 9 ways as a sum of consecutive naturals, for example, 35601 + ... + 36248.

It is an arithmetic number, because the mean of its divisors is an integer number (2028565).

Almost surely, 223279076 is an apocalyptic number.

It is an amenable number.

23279076 is an abundant number, since it is smaller than the sum of its proper divisors (37577874).

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

23279076 is a wasteful number, since it uses less digits than its factorization.

23279076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71865 (or 71854 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23279076 is about 4824.8394791951. The cubic root of 23279076 is about 285.5323015870.

The spelling of 23279076 in words is "twenty-three million, two hundred seventy-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 71849 143698 215547 287396 431094 646641 862188 1293282 1939923 2586564 3879846 5819769 7759692 11639538 23279076