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5205114 = 233412351
BaseRepresentation
bin10011110110110001111010
3100210110002000
4103312301322
52313030424
6303321430
762146155
oct23666172
910713060
105205114
112a35752
1218b0276
131103265
14996c9c
156cc3c9
hex4f6c7a

5205114 has 32 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1692000.

The previous prime is 5205113. The next prime is 5205127. The reversal of 5205114 is 4115025.

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 (5205113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 25205114 is an apocalyptic number.

5205114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

5205114 is an abundant number, since it is smaller than the sum of its proper divisors (6648966).

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

5205114 is a wasteful number, since it uses less digits than its factorization.

5205114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5205114 is about 2281.4718933180. The cubic root of 5205114 is about 173.3045966496.

The spelling of 5205114 in words is "five million, two hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 2351 4702 7053 14106 21159 42318 63477 96391 126954 192782 289173 578346 867519 1735038 2602557 5205114