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2110248 = 233275379
BaseRepresentation
bin1000000011001100101000
310222012201100
420003030220
51020011443
6113121400
723636220
oct10031450
93865640
102110248
111211508
12859260
1358b68a
143cd080
152ba3d3
hex203328

2110248 has 96 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 584064.

The previous prime is 2110247. The next prime is 2110259. The reversal of 2110248 is 8420112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2110248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110247) 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 23 ways as a sum of consecutive naturals, for example, 26673 + ... + 26751.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

22110248 is an apocalyptic number.

2110248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2110248 is an abundant number, since it is smaller than the sum of its proper divisors (4628952).

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

2110248 is a wasteful number, since it uses less digits than its factorization.

2110248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2110248 is about 1452.6692672456. The cubic root of 2110248 is about 128.2658861117.

The spelling of 2110248 in words is "two million, one hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 79 84 106 126 158 159 168 212 237 252 316 318 371 424 474 477 504 553 632 636 711 742 948 954 1106 1113 1272 1422 1484 1659 1896 1908 2212 2226 2844 2968 3318 3339 3816 4187 4424 4452 4977 5688 6636 6678 8374 8904 9954 12561 13272 13356 16748 19908 25122 26712 29309 33496 37683 39816 50244 58618 75366 87927 100488 117236 150732 175854 234472 263781 301464 351708 527562 703416 1055124 2110248