Search a number
-
+
114110550 = 232522391061
BaseRepresentation
bin1101100110100…
…11000001010110
321221201102020200
412303103001112
5213203014200
615153441330
72553631551
oct663230126
9257642220
10114110550
1159459a44
1232270246
131a844348
1411225698
15a040800
hex6cd3056

114110550 has 72 divisors (see below), whose sum is σ = 308149920. Its totient is φ = 30273600.

The previous prime is 114110533. The next prime is 114110551. The reversal of 114110550 is 55011411.

It is a happy number.

114110550 is a `hidden beast` number, since 1 + 1 + 4 + 110 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114110551) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 107020 + ... + 108080.

It is an arithmetic number, because the mean of its divisors is an integer number (4279860).

Almost surely, 2114110550 is an apocalyptic number.

114110550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114110550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154074960).

114110550 is an abundant number, since it is smaller than the sum of its proper divisors (194039370).

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

114110550 is a wasteful number, since it uses less digits than its factorization.

114110550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 114110550 is about 10682.2539756364. The cubic root of 114110550 is about 485.0374435257.

Adding to 114110550 its reverse (55011411), we get a palindrome (169121961).

The spelling of 114110550 in words is "one hundred fourteen million, one hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 239 450 478 717 1061 1195 1434 2122 2151 2390 3183 3585 4302 5305 5975 6366 7170 9549 10610 10755 11950 15915 17925 19098 21510 26525 31830 35850 47745 53050 53775 79575 95490 107550 159150 238725 253579 477450 507158 760737 1267895 1521474 2282211 2535790 3803685 4564422 6339475 7607370 11411055 12678950 19018425 22822110 38036850 57055275 114110550