Search a number
-
+
109396800 = 26325271107
BaseRepresentation
bin1101000010101…
…00001101000000
321121211221012100
412201110031000
5211001144200
614504430400
72465600052
oct641241500
9247757170
10109396800
115682a487
1230778400
1319883946
14107598d2
15990dd00
hex6854340

109396800 has 252 divisors, whose sum is σ = 397983456. Its totient is φ = 28492800.

The previous prime is 109396747. The next prime is 109396801. The reversal of 109396800 is 8693901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109396801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1022347 + ... + 1022453.

Almost surely, 2109396800 is an apocalyptic number.

109396800 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 109396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

109396800 is an abundant number, since it is smaller than the sum of its proper divisors (288586656).

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

109396800 is a wasteful number, since it uses less digits than its factorization.

109396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109396800 is about 10459.2925190952. The cubic root of 109396800 is about 478.2645664584.

The spelling of 109396800 in words is "one hundred nine million, three hundred ninety-six thousand, eight hundred".