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40013064 = 233271331197
BaseRepresentation
bin1001100010100…
…0110100001000
32210021212121100
42120220310020
540220404224
63545341400
7664051110
oct230506410
983255540
1040013064
112064a453
1211497860
13839c790
145458040
1537a5ac9
hex2628d08

40013064 has 192 divisors, whose sum is σ = 138378240. Its totient is φ = 10160640.

The previous prime is 40013041. The next prime is 40013081. The reversal of 40013064 is 46031004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203014 + ... + 203210.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 240013064 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 40013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

40013064 is an abundant number, since it is smaller than the sum of its proper divisors (98365176).

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

40013064 is a wasteful number, since it uses less digits than its factorization.

40013064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40013064 is about 6325.5880359062. The cubic root of 40013064 is about 342.0324171590.

Adding to 40013064 its reverse (46031004), we get a palindrome (86044068).

The spelling of 40013064 in words is "forty million, thirteen thousand, sixty-four".