Search a number
-
+
104467104 = 2533723751
BaseRepresentation
bin1100011101000…
…00101010100000
321021120110221000
412032200222200
5203220421404
614211032000
72405645550
oct616405240
9237513830
10104467104
1153a72755
122ab9b600
1318848b71
14dc35160
159288339
hex63a0aa0

104467104 has 192 divisors, whose sum is σ = 363847680. Its totient is φ = 28512000.

The previous prime is 104467093. The next prime is 104467141. The reversal of 104467104 is 401764401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138729 + ... + 139479.

It is an arithmetic number, because the mean of its divisors is an integer number (1895040).

Almost surely, 2104467104 is an apocalyptic number.

104467104 is a gapful number since it is divisible by the number (14) 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 104467104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181923840).

104467104 is an abundant number, since it is smaller than the sum of its proper divisors (259380576).

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

104467104 is a wasteful number, since it uses less digits than its factorization.

104467104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104467104 is about 10220.9150275306. The cubic root of 104467104 is about 470.9699360096.

The spelling of 104467104 in words is "one hundred four million, four hundred sixty-seven thousand, one hundred four".