Search a number
-
+
104758080 = 26357217131
BaseRepresentation
bin1100011111001…
…11101101000000
321022010021001220
412033213231000
5203304224310
614221155040
72411300100
oct617475500
9238107056
10104758080
1154151329
122b0bba80
131891b43b
14dcad200
1592e4670
hex63e7b40

104758080 has 336 divisors, whose sum is σ = 412796736. Its totient is φ = 22364160.

The previous prime is 104758079. The next prime is 104758081. The reversal of 104758080 is 80857401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104758079) and next prime (104758081).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104758081) 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, 799615 + ... + 799745.

Almost surely, 2104758080 is an apocalyptic number.

104758080 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 104758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206398368).

104758080 is an abundant number, since it is smaller than the sum of its proper divisors (308038656).

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

104758080 is a wasteful number, since it uses less digits than its factorization.

104758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 104758080 is about 10235.1394714483. The cubic root of 104758080 is about 471.4068005163.

The spelling of 104758080 in words is "one hundred four million, seven hundred fifty-eight thousand, eighty".