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2145906 = 23372811
BaseRepresentation
bin1000001011111001110010
311001000122000
420023321302
51022132111
6113554430
724145200
oct10137162
94030560
102145906
111236284
12875a16
135a1989
143dc070
152c5c56
hex20be72

2145906 has 48 divisors (see below), whose sum is σ = 5554080. Its totient is φ = 612360.

The previous prime is 2145853. The next prime is 2145937. The reversal of 2145906 is 6095412.

2145906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2145906.

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, 2241 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (115710).

22145906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777040).

2145906 is an abundant number, since it is smaller than the sum of its proper divisors (3408174).

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

2145906 is a wasteful number, since it uses less digits than its factorization.

2145906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2145906 is about 1464.8911222340. The cubic root of 2145906 is about 128.9843139391.

The spelling of 2145906 in words is "two million, one hundred forty-five thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 811 882 1323 1622 2433 2646 4866 5677 7299 11354 14598 17031 21897 34062 39739 43794 51093 79478 102186 119217 153279 238434 306558 357651 715302 1072953 2145906