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2146004 = 227210949
BaseRepresentation
bin1000001011111011010100
311001000202122
420023323110
51022133004
6113555112
724145400
oct10137324
94030678
102146004
111236363
12875a98
135a1a33
143dc100
152c5cbe
hex20bed4

2146004 has 18 divisors (see below), whose sum is σ = 4369050. Its totient is φ = 919632.

The previous prime is 2146003. The next prime is 2146009. The reversal of 2146004 is 4006412.

2146004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1317904 + 828100 = 1148^2 + 910^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5279 + ... + 5670.

It is an arithmetic number, because the mean of its divisors is an integer number (242725).

22146004 is an apocalyptic number.

It is an amenable number.

2146004 is an abundant number, since it is smaller than the sum of its proper divisors (2223046).

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

2146004 is a wasteful number, since it uses less digits than its factorization.

2146004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2146004 is about 1464.9245714370. The cubic root of 2146004 is about 128.9862774097.

The spelling of 2146004 in words is "two million, one hundred forty-six thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 10949 21898 43796 76643 153286 306572 536501 1073002 2146004