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2143872 = 27321861
BaseRepresentation
bin1000001011011010000000
311000220211200
420023122000
51022100442
6113541200
724136233
oct10133200
94026750
102143872
1112347a5
12874800
135a0a83
143db41a
152c534c
hex20b680

2143872 has 48 divisors (see below), whose sum is σ = 6172530. Its totient is φ = 714240.

The previous prime is 2143861. The next prime is 2143873. The reversal of 2143872 is 2783412.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 576 = 1464^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2143873) 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 5 ways as a sum of consecutive naturals, for example, 222 + ... + 2082.

22143872 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 2143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086265).

2143872 is an abundant number, since it is smaller than the sum of its proper divisors (4028658).

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

2143872 is a wasteful number, since it uses less digits than its factorization.

2143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1866 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2143872 is about 1464.1967080963. The cubic root of 2143872 is about 128.9435484024.

The spelling of 2143872 in words is "two million, one hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1861 3722 5583 7444 11166 14888 16749 22332 29776 33498 44664 59552 66996 89328 119104 133992 178656 238208 267984 357312 535968 714624 1071936 2143872