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6106540 = 2251141677
BaseRepresentation
bin10111010010110110101100
3102111020121011
4113102312230
53030402130
6334515004
7102622216
oct27226654
912436534
106106540
1134a0a30
122065a64
13135a64b
14b4d5b6
1580952a
hex5d2dac

6106540 has 48 divisors (see below), whose sum is σ = 14351904. Its totient is φ = 2163200.

The previous prime is 6106531. The next prime is 6106549. The reversal of 6106540 is 456016.

It is an interprime number because it is at equal distance from previous prime (6106531) and next prime (6106549).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (6106549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8682 + ... + 9358.

It is an arithmetic number, because the mean of its divisors is an integer number (298998).

Almost surely, 26106540 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 6106540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175952).

6106540 is an abundant number, since it is smaller than the sum of its proper divisors (8245364).

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

6106540 is a wasteful number, since it uses less digits than its factorization.

6106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 6106540 is about 2471.1414366644. The cubic root of 6106540 is about 182.7812888739.

The spelling of 6106540 in words is "six million, one hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 677 820 902 1354 1804 2255 2708 3385 4510 6770 7447 9020 13540 14894 27757 29788 37235 55514 74470 111028 138785 148940 277570 305327 555140 610654 1221308 1526635 3053270 6106540