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5006840 = 2351737199
BaseRepresentation
bin10011000110010111111000
3100102101002112
4103012113320
52240204330
6255151452
760362126
oct23062770
910371075
105006840
11290a793
121815588
131063c37
14944916
1568d795
hex4c65f8

5006840 has 64 divisors (see below), whose sum is σ = 12312000. Its totient is φ = 1824768.

The previous prime is 5006839. The next prime is 5006867. The reversal of 5006840 is 486005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25061 + ... + 25259.

It is an arithmetic number, because the mean of its divisors is an integer number (192375).

Almost surely, 25006840 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 5006840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156000).

5006840 is an abundant number, since it is smaller than the sum of its proper divisors (7305160).

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

5006840 is a wasteful number, since it uses less digits than its factorization.

5006840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5006840 is about 2237.5969252750. The cubic root of 5006840 is about 171.0755340413.

The spelling of 5006840 in words is "five million, six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 199 296 340 370 398 629 680 740 796 995 1258 1480 1592 1990 2516 3145 3383 3980 5032 6290 6766 7363 7960 12580 13532 14726 16915 25160 27064 29452 33830 36815 58904 67660 73630 125171 135320 147260 250342 294520 500684 625855 1001368 1251710 2503420 5006840