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102005844 = 22310382529
BaseRepresentation
bin1100001010001…
…11110001010100
321002221102201020
412011013301110
5202103141334
614042201140
72346015063
oct605076124
9232842636
10102005844
1152641556
122a1b31b0
13181967b5
14d7941da
158e4de49
hex6147c54

102005844 has 24 divisors (see below), whose sum is σ = 240327360. Its totient is φ = 33671424.

The previous prime is 102005843. The next prime is 102005857. The reversal of 102005844 is 448500201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40029 + ... + 42500.

It is an arithmetic number, because the mean of its divisors is an integer number (10013640).

Almost surely, 2102005844 is an apocalyptic number.

It is an amenable number.

102005844 is an abundant number, since it is smaller than the sum of its proper divisors (138321516).

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

102005844 is a wasteful number, since it uses less digits than its factorization.

102005844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82639 (or 82637 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 102005844 is about 10099.7942553302. The cubic root of 102005844 is about 467.2417958968.

The spelling of 102005844 in words is "one hundred two million, five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 82529 165058 247587 330116 495174 990348 8500487 17000974 25501461 34001948 51002922 102005844