Search a number
-
+
104673888 = 253211193747
BaseRepresentation
bin1100011110100…
…11001001100000
321021221222120200
412033103021200
5203244031023
614215305200
72410466454
oct617231140
9237858520
10104673888
11540a4050
122b07b200
13188bc017
14dc8a664
1592c9743
hex63d3260

104673888 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 28615680.

The previous prime is 104673859. The next prime is 104673889. The reversal of 104673888 is 888376401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104673889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2227081 + ... + 2227127.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2104673888 is an apocalyptic number.

104673888 is a gapful number since it is divisible by the number (18) 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 104673888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

104673888 is an abundant number, since it is smaller than the sum of its proper divisors (253851552).

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

104673888 is a wasteful number, since it uses less digits than its factorization.

104673888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 104673888 is about 10231.0257550257. The cubic root of 104673888 is about 471.2804798913.

The spelling of 104673888 in words is "one hundred four million, six hundred seventy-three thousand, eight hundred eighty-eight".