Search a number
-
+
40514760 = 233251113787
BaseRepresentation
bin1001101010001…
…1010011001000
32211020100210200
42122203103020
540332433020
64004212200
71001240556
oct232432310
984210720
1040514760
1120962380
121169a060
138516c40
145548bd6
153854590
hex26a34c8

40514760 has 192 divisors, whose sum is σ = 154889280. Its totient is φ = 9054720.

The previous prime is 40514717. The next prime is 40514767. The reversal of 40514760 is 6741504.

It is not an unprimeable number, because it can be changed into a prime (40514767) 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 47 ways as a sum of consecutive naturals, for example, 51087 + ... + 51873.

It is an arithmetic number, because the mean of its divisors is an integer number (806715).

Almost surely, 240514760 is an apocalyptic number.

40514760 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 40514760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77444640).

40514760 is an abundant number, since it is smaller than the sum of its proper divisors (114374520).

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

40514760 is a wasteful number, since it uses less digits than its factorization.

40514760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40514760 is about 6365.1205801619. The cubic root of 40514760 is about 343.4559861736.

The spelling of 40514760 in words is "forty million, five hundred fourteen thousand, seven hundred sixty".