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2149056 = 263271341
BaseRepresentation
bin1000001100101011000000
311001011221200
420030223000
51022232211
6114021200
724160320
oct10145300
94034850
102149056
111238688
12877800
135a3240
143dd280
152c6b56
hex20cac0

2149056 has 168 divisors, whose sum is σ = 7766304. Its totient is φ = 552960.

The previous prime is 2149039. The next prime is 2149057. The reversal of 2149056 is 6509412.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×21490562 = 9236883382272, which contains 22 as substring.

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 (2149057) 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, 52396 + ... + 52436.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

22149056 is an apocalyptic number.

2149056 is a gapful number since it is divisible by the number (26) 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 2149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883152).

2149056 is an abundant number, since it is smaller than the sum of its proper divisors (5617248).

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

2149056 is a wasteful number, since it uses less digits than its factorization.

2149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2149056 is about 1465.9658931912. The cubic root of 2149056 is about 129.0473956004.

The spelling of 2149056 in words is "two million, one hundred forty-nine thousand, fifty-six".