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114000210 = 2345140741
BaseRepresentation
bin1101100101110…
…00000101010010
321221111210220000
412302320011102
5213141001320
615151230430
72552662062
oct662700522
9257453800
10114000210
1159394055
1232218416
131a80605c
14111d73a2
15a01cc90
hex6cb8152

114000210 has 40 divisors (see below), whose sum is σ = 306536076. Its totient is φ = 30399840.

The previous prime is 114000203. The next prime is 114000217. The reversal of 114000210 is 12000411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114000203) and next prime (114000217).

It can be written as a sum of positive squares in 2 ways, for example, as 113358609 + 641601 = 10647^2 + 801^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 114000192 and 114000201.

It is not an unprimeable number, because it can be changed into a prime (114000217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69561 + ... + 71180.

Almost surely, 2114000210 is an apocalyptic number.

114000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114000210 is an abundant number, since it is smaller than the sum of its proper divisors (192535866).

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

114000210 is a wasteful number, since it uses less digits than its factorization.

114000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140760 (or 140751 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 114000210 is about 10677.0880861778. The cubic root of 114000210 is about 484.8810563176.

Adding to 114000210 its reverse (12000411), we get a palindrome (126000621).

The spelling of 114000210 in words is "one hundred fourteen million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 140741 281482 422223 703705 844446 1266669 1407410 2111115 2533338 3800007 4222230 6333345 7600014 11400021 12666690 19000035 22800042 38000070 57000105 114000210