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9140040 = 2334571331
BaseRepresentation
bin100010110111…
…011101001000
3122012100210000
4202313131020
54314440130
6523523000
7140455230
oct42673510
918170700
109140040
115183058
123089460
131b80310
1412dccc0
15c08260
hex8b7748

9140040 has 320 divisors, whose sum is σ = 39029760. Its totient is φ = 1866240.

The previous prime is 9140029. The next prime is 9140059. The reversal of 9140040 is 400419.

9140040 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

9140040 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9139995 and 9140022.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294825 + ... + 294855.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

Almost surely, 29140040 is an apocalyptic number.

9140040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9140040 is the 1512-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

9140040 is an abundant number, since it is smaller than the sum of its proper divisors (29889720).

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

9140040 is a wasteful number, since it uses less digits than its factorization.

9140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9140040 is about 3023.2499069710. The cubic root of 9140040 is about 209.0817045842.

Adding to 9140040 its reverse (400419), we get a palindrome (9540459).

The spelling of 9140040 in words is "nine million, one hundred forty thousand, forty".