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114110380 = 2253141672
BaseRepresentation
bin1101100110100…
…10111110101100
321221201102000101
412303102332230
5213203013010
615153440444
72553631216
oct663227654
9257642011
10114110380
11594598aa
1232270124
131a844247
14112255b6
15a04073a
hex6cd2fac

114110380 has 72 divisors (see below), whose sum is σ = 257233536. Its totient is φ = 42451200.

The previous prime is 114110377. The next prime is 114110387. The reversal of 114110380 is 83011411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114110387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703107 + ... + 1703173.

It is an arithmetic number, because the mean of its divisors is an integer number (3572688).

Almost surely, 2114110380 is an apocalyptic number.

114110380 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 114110380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128616768).

114110380 is an abundant number, since it is smaller than the sum of its proper divisors (143123156).

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

114110380 is a wasteful number, since it uses less digits than its factorization.

114110380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 114110380 is about 10682.2460185113. The cubic root of 114110380 is about 485.0372026587.

Adding to 114110380 its reverse (83011411), we get a palindrome (197121791).

The spelling of 114110380 in words is "one hundred fourteen million, one hundred ten thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 41 62 67 82 124 134 155 164 205 268 310 335 410 620 670 820 1271 1340 2077 2542 2747 4154 4489 5084 5494 6355 8308 8978 10385 10988 12710 13735 17956 20770 22445 25420 27470 41540 44890 54940 85157 89780 139159 170314 184049 278318 340628 368098 425785 556636 695795 736196 851570 920245 1391590 1703140 1840490 2783180 3680980 5705519 11411038 22822076 28527595 57055190 114110380