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2143008 = 253271063
BaseRepresentation
bin1000001011001100100000
311000212122200
420023030200
51022034013
6113533200
724133560
oct10131440
94025580
102143008
11123408a
12874200
135a056a
143dada0
152c4e73
hex20b320

2143008 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 611712.

The previous prime is 2142971. The next prime is 2143019. The reversal of 2143008 is 8003412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

22143008 is an apocalyptic number.

2143008 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 2143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2143008 is an abundant number, since it is smaller than the sum of its proper divisors (4828320).

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

2143008 is a wasteful number, since it uses less digits than its factorization.

2143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2143008 is about 1463.9016360398. The cubic root of 2143008 is about 128.9262242657.

The spelling of 2143008 in words is "two million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1063 2016 2126 3189 4252 6378 7441 8504 9567 12756 14882 17008 19134 22323 25512 29764 34016 38268 44646 51024 59528 66969 76536 89292 102048 119056 133938 153072 178584 238112 267876 306144 357168 535752 714336 1071504 2143008