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6089040 = 243352819
BaseRepresentation
bin10111001110100101010000
3102110100121000
4113032211100
53024322130
6334302000
7102520206
oct27164520
912410530
106089040
113489871
122057900
1313526a9
14b47076
15804260
hex5ce950

6089040 has 80 divisors (see below), whose sum is σ = 20980800. Its totient is φ = 1623168.

The previous prime is 6089023. The next prime is 6089047. The reversal of 6089040 is 409806.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6088995 and 6089013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6089047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 751 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (262260).

Almost surely, 26089040 is an apocalyptic number.

6089040 is a gapful number since it is divisible by the number (60) 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 6089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490400).

6089040 is an abundant number, since it is smaller than the sum of its proper divisors (14891760).

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

6089040 is a wasteful number, since it uses less digits than its factorization.

6089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6089040 is about 2467.5980223691. The cubic root of 6089040 is about 182.6065181639.

The spelling of 6089040 in words is "six million, eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2819 5638 8457 11276 14095 16914 22552 25371 28190 33828 42285 45104 50742 56380 67656 76113 84570 101484 112760 126855 135312 152226 169140 202968 225520 253710 304452 338280 380565 405936 507420 608904 676560 761130 1014840 1217808 1522260 2029680 3044520 6089040