Search a number
-
+
104332140 = 2232511232979
BaseRepresentation
bin1100011011111…
…11101101101100
321021022121210100
412031333231230
5203202112030
614204111100
72404544223
oct615775554
9237277710
10104332140
1153990310
122ab35490
13187cc5c3
14dbdbcba
15925d360
hex637fb6c

104332140 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 23063040.

The previous prime is 104332127. The next prime is 104332141. The reversal of 104332140 is 41233401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104332141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320621 + ... + 1320699.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2104332140 is an apocalyptic number.

104332140 is a gapful number since it is divisible by the number (10) 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 104332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

104332140 is an abundant number, since it is smaller than the sum of its proper divisors (273063060).

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

104332140 is a wasteful number, since it uses less digits than its factorization.

104332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104332140 is about 10214.3105494204. The cubic root of 104332140 is about 470.7670288198.

Adding to 104332140 its reverse (41233401), we get a palindrome (145565541).

The spelling of 104332140 in words is "one hundred four million, three hundred thirty-two thousand, one hundred forty".