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2167056 = 2432101149
BaseRepresentation
bin1000010001000100010000
311002002122100
420101010100
51023321211
6114240400
724263643
oct10210420
94062570
102167056
111250161
12886100
135ab4a8
14405a5a
152cc156
hex211110

2167056 has 60 divisors (see below), whose sum is σ = 6165900. Its totient is φ = 710400.

The previous prime is 2167031. The next prime is 2167063. The reversal of 2167056 is 6507612.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 921600 = 1116^2 + 960^2 .

It is a super-2 number, since 2×21670562 = 9392263414272, which contains 22 as substring.

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

It is a nialpdrome in base 12 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14470 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

22167056 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 2167056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082950).

2167056 is an abundant number, since it is smaller than the sum of its proper divisors (3998844).

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

2167056 is a wasteful number, since it uses less digits than its factorization.

2167056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2167056 is about 1472.0923884050. The cubic root of 2167056 is about 129.4066848111.

The spelling of 2167056 in words is "two million, one hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 149 202 298 303 404 447 596 606 808 894 909 1192 1212 1341 1616 1788 1818 2384 2424 2682 3576 3636 4848 5364 7152 7272 10728 14544 15049 21456 30098 45147 60196 90294 120392 135441 180588 240784 270882 361176 541764 722352 1083528 2167056