Search a number
-
+
23107764 = 2234167701
BaseRepresentation
bin101100000100…
…1100010110100
31121110222220010
41120021202310
521403422024
62143140220
7400261401
oct130114264
947428803
1023107764
1112053229
1278a4670
134a30b44
1430d72a8
152066b29
hex16098b4

23107764 has 48 divisors (see below), whose sum is σ = 56137536. Its totient is φ = 7392000.

The previous prime is 23107759. The next prime is 23107769. The reversal of 23107764 is 46770132.

It is an interprime number because it is at equal distance from previous prime (23107759) and next prime (23107769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23107769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32614 + ... + 33314.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 223107764 is an apocalyptic number.

It is an amenable number.

23107764 is an abundant number, since it is smaller than the sum of its proper divisors (33029772).

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

23107764 is a wasteful number, since it uses less digits than its factorization.

23107764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 23107764 is about 4807.0535674153. The cubic root of 23107764 is about 284.8301604269.

Adding to 23107764 its reverse (46770132), we get a palindrome (69877896).

It can be divided in two parts, 23107 and 764, that added together give a triangular number (23871 = T218).

The spelling of 23107764 in words is "twenty-three million, one hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 41 67 82 123 134 164 201 246 268 402 492 701 804 1402 2103 2747 2804 4206 5494 8241 8412 10988 16482 28741 32964 46967 57482 86223 93934 114964 140901 172446 187868 281802 344892 563604 1925647 3851294 5776941 7702588 11553882 23107764