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4032140 = 225783347
BaseRepresentation
bin1111011000011010001100
321120212001112
433120122030
52013012030
6222231152
746162340
oct17303214
97525045
104032140
112304452
1214254b8
13ab23a8
1476d620
15549a95
hex3d868c

4032140 has 48 divisors (see below), whose sum is σ = 9821952. Its totient is φ = 1361856.

The previous prime is 4032113. The next prime is 4032151. The reversal of 4032140 is 412304.

4032140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11447 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

Almost surely, 24032140 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 4032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976).

4032140 is an abundant number, since it is smaller than the sum of its proper divisors (5789812).

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

4032140 is a wasteful number, since it uses less digits than its factorization.

4032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4032140 is about 2008.0189242136. The cubic root of 4032140 is about 159.1641304506.

Adding to 4032140 its reverse (412304), we get a palindrome (4444444).

The spelling of 4032140 in words is "four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 347 415 581 694 830 1162 1388 1660 1735 2324 2429 2905 3470 4858 5810 6940 9716 11620 12145 24290 28801 48580 57602 115204 144005 201607 288010 403214 576020 806428 1008035 2016070 4032140