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4115040 = 25358573
BaseRepresentation
bin1111101100101001100000
321202001202220
433230221200
52023140130
6224111040
746656126
oct17545140
97661686
104115040
112360766
121465480
13b11047
14791916
15564410
hex3eca60

4115040 has 48 divisors (see below), whose sum is σ = 12963888. Its totient is φ = 1097216.

The previous prime is 4115021. The next prime is 4115051. The reversal of 4115040 is 405114.

4115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3807 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (270081).

Almost surely, 24115040 is an apocalyptic number.

4115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115040 is an abundant number, since it is smaller than the sum of its proper divisors (8848848).

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

4115040 is a wasteful number, since it uses less digits than its factorization.

4115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4115040 is about 2028.5561367633. The cubic root of 4115040 is about 160.2475335139.

The spelling of 4115040 in words is "four million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8573 17146 25719 34292 42865 51438 68584 85730 102876 128595 137168 171460 205752 257190 274336 342920 411504 514380 685840 823008 1028760 1371680 2057520 4115040