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4140072 = 23346389
BaseRepresentation
bin1111110010110000101000
321210100010000
433302300220
52024440242
6224423000
750122116
oct17626050
97710100
104140072
112378552
121477a60
13b1c561
1479aab6
1556ba4c
hex3f2c28

4140072 has 40 divisors (see below), whose sum is σ = 11597850. Its totient is φ = 1379808.

The previous prime is 4140053. The next prime is 4140077. The reversal of 4140072 is 2700414.

It is a happy number.

4140072 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., 4137156 + 2916 = 2034^2 + 54^2 .

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 (4140077) 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 9 ways as a sum of consecutive naturals, for example, 2547 + ... + 3842.

Almost surely, 24140072 is an apocalyptic number.

It is an amenable number.

4140072 is an abundant number, since it is smaller than the sum of its proper divisors (7457778).

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

4140072 is a wasteful number, since it uses less digits than its factorization.

4140072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4140072 is about 2034.7166878954. The cubic root of 4140072 is about 160.5718082034.

Adding to 4140072 its reverse (2700414), we get a palindrome (6840486).

The spelling of 4140072 in words is "four million, one hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6389 12778 19167 25556 38334 51112 57501 76668 115002 153336 172503 230004 345006 460008 517509 690012 1035018 1380024 2070036 4140072