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2538630 = 232567421
BaseRepresentation
bin1001101011110010000110
311202222100100
421223302012
51122214010
6130224530
730402153
oct11536206
94688310
102538630
111484346
12a25146
136ab663
144a122a
153522c0
hex26bc86

2538630 has 48 divisors (see below), whose sum is σ = 6714864. Its totient is φ = 665280.

The previous prime is 2538623. The next prime is 2538659. The reversal of 2538630 is 368352.

2538630 is a `hidden beast` number, since 25 + 3 + 8 + 630 = 666.

2538630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2538594 and 2538603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820 + ... + 6240.

It is an arithmetic number, because the mean of its divisors is an integer number (139893).

22538630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357432).

2538630 is an abundant number, since it is smaller than the sum of its proper divisors (4176234).

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

2538630 is a wasteful number, since it uses less digits than its factorization.

2538630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2538630 is about 1593.3078798525. The cubic root of 2538630 is about 136.4163638518.

The spelling of 2538630 in words is "two million, five hundred thirty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 421 603 670 842 1005 1206 1263 2010 2105 2526 3015 3789 4210 6030 6315 7578 12630 18945 28207 37890 56414 84621 141035 169242 253863 282070 423105 507726 846210 1269315 2538630