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40132840 = 23511197463
BaseRepresentation
bin1001100100011…
…0000011101000
32210111221220111
42121012003220
540233222330
63552104104
7665060236
oct231060350
983457814
1040132840
1120721440
1211535034
138412157
145489956
1537cb32a
hex26460e8

40132840 has 64 divisors (see below), whose sum is σ = 99221760. Its totient is φ = 14488320.

The previous prime is 40132837. The next prime is 40132847. The reversal of 40132840 is 4823104.

It is a super-2 number, since 2×401328402 = 3221289692931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40132847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86449 + ... + 86911.

It is an arithmetic number, because the mean of its divisors is an integer number (1550340).

Almost surely, 240132840 is an apocalyptic number.

40132840 is a gapful number since it is divisible by the number (40) 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 40132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610880).

40132840 is an abundant number, since it is smaller than the sum of its proper divisors (59088920).

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

40132840 is a wasteful number, since it uses less digits than its factorization.

40132840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40132840 is about 6335.0485396720. The cubic root of 40132840 is about 342.3733596838.

Adding to 40132840 its reverse (4823104), we get a palindrome (44955944).

The spelling of 40132840 in words is "forty million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 463 788 926 985 1576 1852 1970 2167 2315 3704 3940 4334 4630 5093 7880 8668 9260 10186 10835 17336 18520 20372 21670 25465 40744 43340 50930 86680 91211 101860 182422 203720 364844 456055 729688 912110 1003321 1824220 2006642 3648440 4013284 5016605 8026568 10033210 20066420 40132840