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2133756 = 223323859
BaseRepresentation
bin1000001000111011111100
311000101222000
420020323330
51021240011
6113422300
724064602
oct10107374
94011860
102133756
111228139
1286a990
135992a1
143d7872
152c2356
hex208efc

2133756 has 48 divisors (see below), whose sum is σ = 5779200. Its totient is φ = 679536.

The previous prime is 2133743. The next prime is 2133773. The reversal of 2133756 is 6573312.

It is a happy number.

2133756 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 congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2055 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (120400).

22133756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889600).

2133756 is an abundant number, since it is smaller than the sum of its proper divisors (3645444).

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

2133756 is a wasteful number, since it uses less digits than its factorization.

2133756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 2133756 is about 1460.7381695567. The cubic root of 2133756 is about 128.7404190564.

It can be divided in two parts, 213 and 3756, that added together give a square (3969 = 632).

The spelling of 2133756 in words is "two million, one hundred thirty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 859 1242 1718 2484 2577 3436 5154 7731 10308 15462 19757 23193 30924 39514 46386 59271 79028 92772 118542 177813 237084 355626 533439 711252 1066878 2133756