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4115140 = 225376783
BaseRepresentation
bin1111101100101011000100
321202001220121
433230223010
52023141030
6224111324
746656331
oct17545304
97661817
104115140
112360847
121465544
13b110c3
14791988
1556447a
hex3ecac4

4115140 has 48 divisors (see below), whose sum is σ = 9116352. Its totient is φ = 1558656.

The previous prime is 4115131. The next prime is 4115141. The reversal of 4115140 is 415114.

It is not an unprimeable number, because it can be changed into a prime (4115141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49539 + ... + 49621.

It is an arithmetic number, because the mean of its divisors is an integer number (189924).

Almost surely, 24115140 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 4115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558176).

4115140 is an abundant number, since it is smaller than the sum of its proper divisors (5001212).

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

4115140 is a wasteful number, since it uses less digits than its factorization.

4115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 4115140 is about 2028.5807846867. The cubic root of 4115140 is about 160.2488315672.

It can be divided in two parts, 411 and 5140, that multiplied together give a triangular number (2112540 = T2055).

The spelling of 4115140 in words is "four million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 83 134 148 166 185 268 332 335 370 415 670 740 830 1340 1660 2479 3071 4958 5561 6142 9916 11122 12284 12395 15355 22244 24790 27805 30710 49580 55610 61420 111220 205757 411514 823028 1028785 2057570 4115140