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7401040 = 245711303
BaseRepresentation
bin11100001110111001010000
3111221000022121
4130032321100
53343313130
6422344024
7116623243
oct34167120
914830277
107401040
1141a5569
12258b014
1316c191a
14da925a
159b2d7a
hex70ee50

7401040 has 40 divisors (see below), whose sum is σ = 17463168. Its totient is φ = 2916480.

The previous prime is 7400993. The next prime is 7401041. The reversal of 7401040 is 401047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7401041) 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 7 ways as a sum of consecutive naturals, for example, 5029 + ... + 6331.

Almost surely, 27401040 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 7401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731584).

7401040 is an abundant number, since it is smaller than the sum of its proper divisors (10062128).

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

7401040 is a wasteful number, since it uses less digits than its factorization.

7401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 7401040 is about 2720.4852508330. The cubic root of 7401040 is about 194.8786446322.

Adding to 7401040 its reverse (401047), we get a palindrome (7802087).

The spelling of 7401040 in words is "seven million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1303 1420 2606 2840 5212 5680 6515 10424 13030 20848 26060 52120 92513 104240 185026 370052 462565 740104 925130 1480208 1850260 3700520 7401040