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2140236 = 2233719149
BaseRepresentation
bin1000001010100001001100
311000201212000
420022201030
51021441421
6113512300
724122520
oct10124114
94021760
102140236
111231a9a
12872690
1359c217
143d9d80
152c4226
hex20a84c

2140236 has 96 divisors (see below), whose sum is σ = 6720000. Its totient is φ = 575424.

The previous prime is 2140231. The next prime is 2140253. The reversal of 2140236 is 6320412.

2140236 = T248 + T249 + ... + T303.

It is a happy number.

It is a super-2 number, since 2×21402362 = 9161220271392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14290 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (70000).

22140236 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 2140236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360000).

2140236 is an abundant number, since it is smaller than the sum of its proper divisors (4579764).

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

2140236 is a wasteful number, since it uses less digits than its factorization.

2140236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2140236 is about 1462.9545447484. The cubic root of 2140236 is about 128.8706112057.

Adding to 2140236 its reverse (6320412), we get a palindrome (8460648).

The spelling of 2140236 in words is "two million, one hundred forty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 149 171 189 228 252 266 298 342 378 399 447 513 532 596 684 756 798 894 1026 1043 1197 1341 1596 1788 2052 2086 2394 2682 2831 3129 3591 4023 4172 4788 5364 5662 6258 7182 8046 8493 9387 11324 12516 14364 16092 16986 18774 19817 25479 28161 33972 37548 39634 50958 56322 59451 76437 79268 101916 112644 118902 152874 178353 237804 305748 356706 535059 713412 1070118 2140236