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5873040 = 243352719
BaseRepresentation
bin10110011001110110010000
3102001101022000
4112121312100
53000414130
6325514000
7100630365
oct26316620
912041260
105873040
113351558
121b72900
1312a8294
14acc46c
157b0260
hex599d90

5873040 has 80 divisors (see below), whose sum is σ = 20236800. Its totient is φ = 1565568.

The previous prime is 5873039. The next prime is 5873057. The reversal of 5873040 is 403785.

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 = 5872995 and 5873013.

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 15 ways as a sum of consecutive naturals, for example, 801 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 25873040 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 5873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118400).

5873040 is an abundant number, since it is smaller than the sum of its proper divisors (14363760).

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

5873040 is a wasteful number, since it uses less digits than its factorization.

5873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5873040 is about 2423.4355778522. The cubic root of 5873040 is about 180.4212356783.

The spelling of 5873040 in words is "five million, eight hundred seventy-three 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 2719 5438 8157 10876 13595 16314 21752 24471 27190 32628 40785 43504 48942 54380 65256 73413 81570 97884 108760 122355 130512 146826 163140 195768 217520 244710 293652 326280 367065 391536 489420 587304 652560 734130 978840 1174608 1468260 1957680 2936520 5873040