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5834136 = 2337211241
BaseRepresentation
bin10110010000010110011000
3101222101221010
4112100112120
52443143021
6325013520
7100406100
oct26202630
911871833
105834136
113325300
121b542a0
131293669
14abc200
157a3976
hex590598

5834136 has 144 divisors (see below), whose sum is σ = 19104120. Its totient is φ = 1478400.

The previous prime is 5834131. The next prime is 5834167. The reversal of 5834136 is 6314385.

Its product of digits (8640) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5834131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142276 + ... + 142316.

Almost surely, 25834136 is an apocalyptic number.

5834136 is a gapful number since it is divisible by the number (56) 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 5834136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552060).

5834136 is an abundant number, since it is smaller than the sum of its proper divisors (13269984).

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

5834136 is a wasteful number, since it uses less digits than its factorization.

5834136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 5834136 is about 2415.3956197692. The cubic root of 5834136 is about 180.0219726263.

Subtracting 5834136 from its reverse (6314385), we obtain a square (480249 = 6932).

The spelling of 5834136 in words is "five million, eight hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 49 56 66 77 82 84 88 98 121 123 132 147 154 164 168 196 231 242 246 264 287 294 308 328 363 392 451 462 484 492 539 574 588 616 726 847 861 902 924 968 984 1078 1148 1176 1353 1452 1617 1694 1722 1804 1848 2009 2156 2296 2541 2706 2904 3157 3234 3388 3444 3608 4018 4312 4961 5082 5412 5929 6027 6314 6468 6776 6888 8036 9471 9922 10164 10824 11858 12054 12628 12936 14883 16072 17787 18942 19844 20328 22099 23716 24108 25256 29766 34727 35574 37884 39688 44198 47432 48216 59532 66297 69454 71148 75768 88396 104181 119064 132594 138908 142296 176792 208362 243089 265188 277816 416724 486178 530376 729267 833448 972356 1458534 1944712 2917068 5834136