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4136004 = 2232114889
BaseRepresentation
bin1111110001110001000100
321210010112100
433301301010
52024323004
6224352100
750104215
oct17616104
97703470
104136004
112375494
121475630
13b1a752
1479940c
1556a739
hex3f1c44

4136004 has 18 divisors (see below), whose sum is σ = 10454990. Its totient is φ = 1378656.

The previous prime is 4136003. The next prime is 4136023. The reversal of 4136004 is 4006314.

4136004 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., 3617604 + 518400 = 1902^2 + 720^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (4136003) 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, 57409 + ... + 57480.

Almost surely, 24136004 is an apocalyptic number.

It is an amenable number.

4136004 is an abundant number, since it is smaller than the sum of its proper divisors (6318986).

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

4136004 is a wasteful number, since it uses less digits than its factorization.

4136004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114899 (or 114894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4136004 is about 2033.7167944431. The cubic root of 4136004 is about 160.5191987981.

The spelling of 4136004 in words is "four million, one hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 114889 229778 344667 459556 689334 1034001 1378668 2068002 4136004