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2648106 = 233192989
BaseRepresentation
bin1010000110100000101010
311222112112000
422012200222
51134214411
6132431430
731336266
oct12064052
94875460
102648106
11154961a
12a78576
13719436
144cd0a6
15374956
hex28682a

2648106 has 64 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 798336.

The previous prime is 2648101. The next prime is 2648123. The reversal of 2648106 is 6018462.

2648106 is a `hidden beast` number, since 2 + 648 + 10 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2648106.

It is not an unprimeable number, because it can be changed into a prime (2648101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29710 + ... + 29798.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

22648106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2648106 is an abundant number, since it is smaller than the sum of its proper divisors (3831894).

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

2648106 is a wasteful number, since it uses less digits than its factorization.

2648106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2648106 is about 1627.3002181528. The cubic root of 2648106 is about 138.3497743398.

The spelling of 2648106 in words is "two million, six hundred forty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 89 114 171 174 178 261 267 342 513 522 534 551 783 801 1026 1102 1566 1602 1653 1691 2403 2581 3306 3382 4806 4959 5073 5162 7743 9918 10146 14877 15219 15486 23229 29754 30438 45657 46458 49039 69687 91314 98078 139374 147117 294234 441351 882702 1324053 2648106