Search a number
-
+
104069280 = 2535747659
BaseRepresentation
bin1100011001111…
…11100010100000
321020211021012210
412030333202200
5203120204110
614154322120
72402400660
oct614774240
9236737183
10104069280
1153820877
122aa29340
1318739a73
14db701a0
15920a520
hex633f8a0

104069280 has 192 divisors, whose sum is σ = 383201280. Its totient is φ = 23245824.

The previous prime is 104069249. The next prime is 104069293. The reversal of 104069280 is 82960401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157591 + ... + 158249.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2104069280 is an apocalyptic number.

104069280 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 104069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

104069280 is an abundant number, since it is smaller than the sum of its proper divisors (279132000).

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

104069280 is a wasteful number, since it uses less digits than its factorization.

104069280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104069280 is about 10201.4351931481. The cubic root of 104069280 is about 470.3713377418.

The spelling of 104069280 in words is "one hundred four million, sixty-nine thousand, two hundred eighty".