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2675106 = 23472337
BaseRepresentation
bin1010001101000110100010
312000220120000
422031012202
51141100411
6133200430
731511100
oct12150642
95026500
102675106
111567935
12a90116
13728805
144d8c70
1537c956
hex28d1a2

2675106 has 60 divisors (see below), whose sum is σ = 6993558. Its totient is φ = 762048.

The previous prime is 2675093. The next prime is 2675111. The reversal of 2675106 is 6015762.

It can be written as a sum of positive squares in only one way, i.e., 2480625 + 194481 = 1575^2 + 441^2 .

It is a super-2 number, since 2×26751062 = 14312384222472, which contains 22 as substring.

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 2675106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7770 + ... + 8106.

22675106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496779).

2675106 is an abundant number, since it is smaller than the sum of its proper divisors (4318452).

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

2675106 is a wasteful number, since it uses less digits than its factorization.

2675106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2675106 is about 1635.5751282041. The cubic root of 2675106 is about 138.8183884924.

The spelling of 2675106 in words is "two million, six hundred seventy-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 337 378 441 567 674 882 1011 1134 1323 2022 2359 2646 3033 3969 4718 6066 7077 7938 9099 14154 16513 18198 21231 27297 33026 42462 49539 54594 63693 99078 127386 148617 191079 297234 382158 445851 891702 1337553 2675106