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24640040 = 235312641
BaseRepresentation
bin101110111111…
…1101000101000
31201100211210002
41131333220220
522301440130
62240042132
7416302565
oct135775050
951324702
1024640040
11129aa477
128303348
135149409
1433b586c
15226ab45
hex177fa28

24640040 has 48 divisors (see below), whose sum is σ = 57375540. Its totient is φ = 9523200.

The previous prime is 24640027. The next prime is 24640043. The reversal of 24640040 is 4004642.

It can be written as a sum of positive squares in 2 ways, for example, as 23990404 + 649636 = 4898^2 + 806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24639994 and 24640021.

It is not an unprimeable number, because it can be changed into a prime (24640043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38120 + ... + 38760.

Almost surely, 224640040 is an apocalyptic number.

24640040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687770).

24640040 is an abundant number, since it is smaller than the sum of its proper divisors (32735500).

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

24640040 is a wasteful number, since it uses less digits than its factorization.

24640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 24640040 is about 4963.8734875095. The cubic root of 24640040 is about 290.9916114145.

Adding to 24640040 its reverse (4004642), we get a palindrome (28644682).

The spelling of 24640040 in words is "twenty-four million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 641 961 1240 1282 1922 2564 3205 3844 4805 5128 6410 7688 9610 12820 19220 19871 25640 38440 39742 79484 99355 158968 198710 397420 616001 794840 1232002 2464004 3080005 4928008 6160010 12320020 24640040