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114105060 = 223255931069
BaseRepresentation
bin1101100110100…
…01101011100100
321221201010201100
412303101223210
5213202330220
615153400100
72553606546
oct663215344
9257633640
10114105060
1159455903
1232269030
131a8419b4
1411223696
15a03dd90
hex6cd1ae4

114105060 has 72 divisors (see below), whose sum is σ = 347026680. Its totient is φ = 30348288.

The previous prime is 114105011. The next prime is 114105067. The reversal of 114105060 is 60501411.

It can be written as a sum of positive squares in 4 ways, for example, as 14424804 + 99680256 = 3798^2 + 9984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114105067) 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, 106206 + ... + 107274.

It is an arithmetic number, because the mean of its divisors is an integer number (4819815).

Almost surely, 2114105060 is an apocalyptic number.

114105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114105060 is an abundant number, since it is smaller than the sum of its proper divisors (232921620).

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

114105060 is a wasteful number, since it uses less digits than its factorization.

114105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114105060 is about 10681.9970043059. The cubic root of 114105060 is about 485.0296648168.

Adding to 114105060 its reverse (60501411), we get a palindrome (174606471).

The spelling of 114105060 in words is "one hundred fourteen million, one hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 593 1069 1186 1779 2138 2372 2965 3207 3558 4276 5337 5345 5930 6414 7116 8895 9621 10674 10690 11860 12828 16035 17790 19242 21348 21380 26685 32070 35580 38484 48105 53370 64140 96210 106740 192420 633917 1267834 1901751 2535668 3169585 3803502 5705253 6339170 7607004 9508755 11410506 12678340 19017510 22821012 28526265 38035020 57052530 114105060