Search a number
-
+
23380104 = 2331128397
BaseRepresentation
bin101100100110…
…0000010001000
31121222211110210
41121030002020
521441130404
62153041120
7402504366
oct131140210
947884423
1023380104
1112219900
1279b61a0
134ac7aa7
143168636
1520bc689
hex164c088

23380104 has 96 divisors (see below), whose sum is σ = 65691360. Its totient is φ = 6927360.

The previous prime is 23380081. The next prime is 23380139. The reversal of 23380104 is 40108332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240984 + ... + 241080.

It is an arithmetic number, because the mean of its divisors is an integer number (684285).

Almost surely, 223380104 is an apocalyptic number.

23380104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23380104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845680).

23380104 is an abundant number, since it is smaller than the sum of its proper divisors (42311256).

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

23380104 is a wasteful number, since it uses less digits than its factorization.

23380104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23380104 is about 4835.2977157565. The cubic root of 23380104 is about 285.9447625078.

Adding to 23380104 its reverse (40108332), we get a palindrome (63488436).

The spelling of 23380104 in words is "twenty-three million, three hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 97 121 132 166 194 242 249 264 291 332 363 388 484 498 582 664 726 776 913 968 996 1067 1164 1452 1826 1992 2134 2328 2739 2904 3201 3652 4268 5478 6402 7304 8051 8536 10043 10956 11737 12804 16102 20086 21912 23474 24153 25608 30129 32204 35211 40172 46948 48306 60258 64408 70422 80344 88561 93896 96612 120516 140844 177122 193224 241032 265683 281688 354244 531366 708488 974171 1062732 1948342 2125464 2922513 3896684 5845026 7793368 11690052 23380104