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104416 = 2513251
BaseRepresentation
bin11001011111100000
312022020021
4121133200
511320131
62123224
7613264
oct313740
9168207
10104416
11714a4
1250514
13386b0
142a0a4
1520e11
hex197e0

104416 has 24 divisors (see below), whose sum is σ = 222264. Its totient is φ = 48000.

The previous prime is 104399. The next prime is 104417. The reversal of 104416 is 614401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 104416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2104416 is an apocalyptic number.

104416 is a gapful number since it is divisible by the number (16) 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 104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132).

104416 is an abundant number, since it is smaller than the sum of its proper divisors (117848).

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

104416 is a wasteful number, since it uses less digits than its factorization.

104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104416 is about 323.1346468579. The cubic root of 104416 is about 47.0893125950.

Adding to 104416 its reverse (614401), we get a palindrome (718817).

It can be divided in two parts, 104 and 416, that multiplied together give a square (43264 = 2082).

The spelling of 104416 in words is "one hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 416 502 1004 2008 3263 4016 6526 8032 13052 26104 52208 104416