Search a number
-
+
109998240 = 25351183251
BaseRepresentation
bin1101000111001…
…11000010100000
321122222111012220
412203213002200
5211124420430
614525351040
72503653402
oct643470240
9248874186
10109998240
1157100340
1230a08480
1319a34621
1410874b72
1599cc110
hex68e70a0

109998240 has 192 divisors, whose sum is σ = 384072192. Its totient is φ = 26240000.

The previous prime is 109998233. The next prime is 109998253. The reversal of 109998240 is 42899901.

It is a super-2 number, since 2×1099982402 = 24199225606195200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109998192 and 109998201.

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 31 ways as a sum of consecutive naturals, for example, 438115 + ... + 438365.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376).

Almost surely, 2109998240 is an apocalyptic number.

109998240 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 109998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096).

109998240 is an abundant number, since it is smaller than the sum of its proper divisors (274073952).

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

109998240 is a wasteful number, since it uses less digits than its factorization.

109998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 109998240 is about 10488.0045766580. The cubic root of 109998240 is about 479.1394302687.

The spelling of 109998240 in words is "one hundred nine million, nine hundred ninety-eight thousand, two hundred forty".