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114110910 = 23352112003
BaseRepresentation
bin1101100110100…
…11000110111110
321221201102202000
412303103012332
5213203022120
615153443130
72553632604
oct663230676
9257642660
10114110910
115945a241
12322704a6
131a844564
1411225874
15a040990
hex6cd31be

114110910 has 64 divisors (see below), whose sum is σ = 305890560. Its totient is φ = 30270240.

The previous prime is 114110891. The next prime is 114110917. The reversal of 114110910 is 19011411.

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 (114110917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55969 + ... + 57971.

It is an arithmetic number, because the mean of its divisors is an integer number (4779540).

Almost surely, 2114110910 is an apocalyptic number.

114110910 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 114110910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152945280).

114110910 is an abundant number, since it is smaller than the sum of its proper divisors (191779650).

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

114110910 is a wasteful number, since it uses less digits than its factorization.

114110910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 114110910 is about 10682.2708259995. The cubic root of 114110910 is about 485.0379535963.

The spelling of 114110910 in words is "one hundred fourteen million, one hundred ten thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 633 1055 1266 1899 2003 2110 3165 3798 4006 5697 6009 6330 9495 10015 11394 12018 18027 18990 20030 28485 30045 36054 54081 56970 60090 90135 108162 180270 270405 422633 540810 845266 1267899 2113165 2535798 3803697 4226330 6339495 7607394 11411091 12678990 19018485 22822182 38036970 57055455 114110910