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4040640 = 263252361
BaseRepresentation
bin1111011010011111000000
321121021201100
433122133000
52013300030
6222334400
746226202
oct17323700
97537640
104040640
11230a87a
12142a400
13ab6216
14772772
1554c360
hex3da7c0

4040640 has 168 divisors, whose sum is σ = 14740128. Its totient is φ = 1013760.

The previous prime is 4040629. The next prime is 4040653. The reversal of 4040640 is 460404.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66210 + ... + 66270.

Almost surely, 24040640 is an apocalyptic number.

4040640 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 4040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

4040640 is an abundant number, since it is smaller than the sum of its proper divisors (10699488).

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

4040640 is a wasteful number, since it uses less digits than its factorization.

4040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040640 is about 2010.1343238699. The cubic root of 4040640 is about 159.2758945559.

The spelling of 4040640 in words is "four million, forty thousand, six hundred forty".