Search a number
-
+
23419816 = 2373789127
BaseRepresentation
bin101100101010…
…1101110101000
31122001211221121
41121111232220
521443413231
62153545024
7403031230
oct131255650
948054847
1023419816
1112246722
127a15174
134b0cba4
143178cc0
1520c9311
hex1655ba8

23419816 has 64 divisors (see below), whose sum is σ = 52531200. Its totient is φ = 9580032.

The previous prime is 23419811. The next prime is 23419843. The reversal of 23419816 is 61891432.

It is not an unprimeable number, because it can be changed into a prime (23419811) 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 15 ways as a sum of consecutive naturals, for example, 184345 + ... + 184471.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 223419816 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 23419816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265600).

23419816 is an abundant number, since it is smaller than the sum of its proper divisors (29111384).

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

23419816 is a wasteful number, since it uses less digits than its factorization.

23419816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 23419816 is about 4839.4024424509. The cubic root of 23419816 is about 286.1065669670.

The spelling of 23419816 in words is "twenty-three million, four hundred nineteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 89 127 148 178 254 259 296 356 508 518 623 712 889 1016 1036 1246 1778 2072 2492 3293 3556 4699 4984 6586 7112 9398 11303 13172 18796 22606 23051 26344 32893 37592 45212 46102 65786 79121 90424 92204 131572 158242 184408 263144 316484 418211 632968 836422 1672844 2927477 3345688 5854954 11709908 23419816