Search a number
-
+
104468760 = 2332511233137
BaseRepresentation
bin1100011101000…
…01000100011000
321021120120012100
412032201010120
5203221000020
614211043400
72405653434
oct616410430
9237516170
10104468760
1153a73a20
122aba0560
1318849846
14dc359c4
159288a90
hex63a1118

104468760 has 384 divisors, whose sum is σ = 409743360. Its totient is φ = 22809600.

The previous prime is 104468753. The next prime is 104468773. The reversal of 104468760 is 67864401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823462 + ... + 2823498.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2104468760 is an apocalyptic number.

104468760 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 104468760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

104468760 is an abundant number, since it is smaller than the sum of its proper divisors (305274600).

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

104468760 is a wasteful number, since it uses less digits than its factorization.

104468760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 104468760 is about 10220.9960375689. The cubic root of 104468760 is about 470.9724245827.

It can be divided in two parts, 104 and 468760, that added together give a palindrome (468864).

The spelling of 104468760 in words is "one hundred four million, four hundred sixty-eight thousand, seven hundred sixty".