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2140248 = 23311367
BaseRepresentation
bin1000001010100001011000
311000201212110
420022201120
51021441443
6113512320
724122535
oct10124130
94021773
102140248
111232000
128726a0
1359c226
143d9d8c
152c4233
hex20a858

2140248 has 64 divisors (see below), whose sum is σ = 5973120. Its totient is φ = 638880.

The previous prime is 2140231. The next prime is 2140253. The reversal of 2140248 is 8420412.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31911 + ... + 31977.

It is an arithmetic number, because the mean of its divisors is an integer number (93330).

22140248 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 2140248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986560).

2140248 is an abundant number, since it is smaller than the sum of its proper divisors (3832872).

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

2140248 is a wasteful number, since it uses less digits than its factorization.

2140248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2140248 is about 1462.9586460321. The cubic root of 2140248 is about 128.8708520583.

The spelling of 2140248 in words is "two million, one hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 121 132 134 201 242 264 268 363 402 484 536 726 737 804 968 1331 1452 1474 1608 2211 2662 2904 2948 3993 4422 5324 5896 7986 8107 8844 10648 15972 16214 17688 24321 31944 32428 48642 64856 89177 97284 178354 194568 267531 356708 535062 713416 1070124 2140248