Search a number
-
+
104797440 = 2832511827
BaseRepresentation
bin1100011111100…
…01010100000000
321022012021001200
412033301110000
5203312004230
614222101200
72411522616
oct617612400
9238167050
10104797440
1154178960
122b11a800
1318933327
14dcbd6b6
159301160
hex63f1500

104797440 has 216 divisors, whose sum is σ = 396029088. Its totient is φ = 25374720.

The previous prime is 104797439. The next prime is 104797457. The reversal of 104797440 is 44797401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104797395 and 104797404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126307 + ... + 127133.

It is an arithmetic number, because the mean of its divisors is an integer number (1833468).

Almost surely, 2104797440 is an apocalyptic number.

104797440 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 104797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198014544).

104797440 is an abundant number, since it is smaller than the sum of its proper divisors (291231648).

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

104797440 is a wasteful number, since it uses less digits than its factorization.

104797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 104797440 is about 10237.0620785458. The cubic root of 104797440 is about 471.4658325527.

The spelling of 104797440 in words is "one hundred four million, seven hundred ninety-seven thousand, four hundred forty".