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104131468 = 22723783173
BaseRepresentation
bin1100011010011…
…10101110001100
321020221102112001
412031032232030
5203124201333
614155522044
72403050200
oct615165614
9236842461
10104131468
1153863571
122aa59324
131875c16c
14db88b00
15921db7d
hex634eb8c

104131468 has 72 divisors (see below), whose sum is σ = 221607792. Its totient is φ = 42650496.

The previous prime is 104131459. The next prime is 104131487. The reversal of 104131468 is 864131401.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 601830 + ... + 602002.

It is an arithmetic number, because the mean of its divisors is an integer number (3077886).

Almost surely, 2104131468 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 104131468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110803896).

104131468 is an abundant number, since it is smaller than the sum of its proper divisors (117476324).

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

104131468 is a wasteful number, since it uses less digits than its factorization.

104131468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 104131468 is about 10204.4827404430. The cubic root of 104131468 is about 470.4650113284.

Adding to 104131468 its reverse (864131401), we get a palindrome (968262869).

It can be divided in two parts, 10413 and 1468, that added together give a square (11881 = 1092).

The spelling of 104131468 in words is "one hundred four million, one hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 37 49 74 83 98 148 166 173 196 259 332 346 518 581 692 1036 1162 1211 1813 2324 2422 3071 3626 4067 4844 6142 6401 7252 8134 8477 12284 12802 14359 16268 16954 21497 25604 28718 33908 42994 44807 57436 85988 89614 100513 150479 179228 201026 300958 313649 402052 531283 601916 627298 703591 1062566 1254596 1407182 2125132 2814364 3718981 7437962 14875924 26032867 52065734 104131468