Search a number
-
+
23076438 = 23711199251
BaseRepresentation
bin101100000000…
…1111001010110
31121102101220220
41120001321112
521401421223
62142335210
7400101150
oct130017126
947371826
1023076438
1112031740
12788a506
134a1c7c8
1430c9ad0
15205c6e3
hex1601e56

23076438 has 64 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 5940000.

The previous prime is 23076433. The next prime is 23076451. The reversal of 23076438 is 83467032.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23076399 and 23076408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23076433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91813 + ... + 92063.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 223076438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23076438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

23076438 is an abundant number, since it is smaller than the sum of its proper divisors (34984362).

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

23076438 is a wasteful number, since it uses less digits than its factorization.

23076438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 23076438 is about 4803.7941254804. The cubic root of 23076438 is about 284.7013923844.

It can be divided in two parts, 2 and 3076438, that added together give a triangular number (3076440 = T2480).

The spelling of 23076438 in words is "twenty-three million, seventy-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 199 231 251 398 462 502 597 753 1194 1393 1506 1757 2189 2761 2786 3514 4179 4378 5271 5522 6567 8283 8358 10542 13134 15323 16566 19327 30646 38654 45969 49949 57981 91938 99898 115962 149847 299694 349643 549439 699286 1048929 1098878 1648317 2097858 3296634 3846073 7692146 11538219 23076438