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2145990 = 235711929
BaseRepresentation
bin1000001011111011000110
311001000202010
420023323012
51022132430
6113555050
724145350
oct10137306
94030663
102145990
111236350
12875a86
135a1a22
143dc0d0
152c5cb0
hex20bec6

2145990 has 64 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 445440.

The previous prime is 2145977. The next prime is 2145991. The reversal of 2145990 is 995412.

It is a happy number.

2145990 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1846 + ... + 2774.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22145990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2145990 is an abundant number, since it is smaller than the sum of its proper divisors (4282170).

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

2145990 is a wasteful number, since it uses less digits than its factorization.

2145990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2145990 is about 1464.9197930262. The cubic root of 2145990 is about 128.9859969176.

The spelling of 2145990 in words is "two million, one hundred forty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 929 1155 1858 2310 2787 4645 5574 6503 9290 10219 13006 13935 19509 20438 27870 30657 32515 39018 51095 61314 65030 71533 97545 102190 143066 153285 195090 214599 306570 357665 429198 715330 1072995 2145990