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5793240 = 2335232099
BaseRepresentation
bin10110000110010111011000
3101220022211110
4112012113120
52440340430
6324100320
7100145625
oct26062730
911808743
105793240
1132a7602
121b346a0
13127ab6b
14aab34c
157967b0
hex5865d8

5793240 has 64 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1476992.

The previous prime is 5793223. The next prime is 5793253. The reversal of 5793240 is 423975.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 55 + 78 + 9 + 36 + 213 + 47 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5793198 and 5793207.

It is a congruent number.

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, 1711 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 25793240 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 5793240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5793240 is an abundant number, since it is smaller than the sum of its proper divisors (12350760).

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

5793240 is a wasteful number, since it uses less digits than its factorization.

5793240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 5793240 is about 2406.9150379687. The cubic root of 5793240 is about 179.6003478812.

The spelling of 5793240 in words is "five million, seven hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2099 2760 4198 6297 8396 10495 12594 16792 20990 25188 31485 41980 48277 50376 62970 83960 96554 125940 144831 193108 241385 251880 289662 386216 482770 579324 724155 965540 1158648 1448310 1931080 2896620 5793240