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2106630 = 232589263
BaseRepresentation
bin1000000010010100000110
310222000202100
420002110012
51014403010
6113052530
723622531
oct10022406
93860670
102106630
111209819
12857146
13589b36
143cba18
152b92c0
hex202506

2106630 has 48 divisors (see below), whose sum is σ = 5559840. Its totient is φ = 553344.

The previous prime is 2106619. The next prime is 2106631. The reversal of 2106630 is 366012.

It is a happy number.

2106630 is a `hidden beast` number, since 2 + 1 + 0 + 663 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7879 + ... + 8141.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

22106630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920).

2106630 is an abundant number, since it is smaller than the sum of its proper divisors (3453210).

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

2106630 is a wasteful number, since it uses less digits than its factorization.

2106630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2106630 is about 1451.4234392485. The cubic root of 2106630 is about 128.1925406342.

The spelling of 2106630 in words is "two million, one hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 263 267 445 526 534 789 801 890 1315 1335 1578 1602 2367 2630 2670 3945 4005 4734 7890 8010 11835 23407 23670 46814 70221 117035 140442 210663 234070 351105 421326 702210 1053315 2106630