Search a number
-
+
104273568 = 253472821
BaseRepresentation
bin1100011011100…
…01011010100000
321021012122110000
412031301122200
5203143223233
614202540000
72404211400
oct615613240
9237178400
10104273568
1153950303
122ab07600
13187aba49
14dbc4800
15924ad13
hex63716a0

104273568 has 180 divisors, whose sum is σ = 357168042. Its totient is φ = 29756160.

The previous prime is 104273567. The next prime is 104273569. The reversal of 104273568 is 865372401.

It is an interprime number because it is at equal distance from previous prime (104273567) and next prime (104273569).

It can be written as a sum of positive squares in only one way, i.e., 96589584 + 7683984 = 9828^2 + 2772^2 .

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

It is not an unprimeable number, because it can be changed into a prime (104273567) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126598 + ... + 127418.

Almost surely, 2104273568 is an apocalyptic number.

104273568 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 104273568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178584021).

104273568 is an abundant number, since it is smaller than the sum of its proper divisors (252894474).

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

104273568 is an equidigital number, since it uses as much as digits as its factorization.

104273568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104273568 is about 10211.4429930348. The cubic root of 104273568 is about 470.6789162210.

The spelling of 104273568 in words is "one hundred four million, two hundred seventy-three thousand, five hundred sixty-eight".