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5870160 = 2432531263
BaseRepresentation
bin10110011001001001010000
3102001020100100
4112121021100
53000321120
6325452400
7100616112
oct26311120
912036310
105870160
11334a37a
121b71100
1312a6b8a
14acb3b2
157ae490
hex599250

5870160 has 120 divisors (see below), whose sum is σ = 20427264. Its totient is φ = 1509120.

The previous prime is 5870143. The next prime is 5870167. The reversal of 5870160 is 610785.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5870167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22189 + ... + 22451.

Almost surely, 25870160 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 5870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213632).

5870160 is an abundant number, since it is smaller than the sum of its proper divisors (14557104).

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

5870160 is a wasteful number, since it uses less digits than its factorization.

5870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5870160 is about 2422.8413072259. The cubic root of 5870160 is about 180.3917394198.

The spelling of 5870160 in words is "five million, eight hundred seventy thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 263 279 310 360 372 465 496 526 558 620 720 744 789 930 1052 1116 1240 1315 1395 1488 1578 1860 2104 2232 2367 2480 2630 2790 3156 3720 3945 4208 4464 4734 5260 5580 6312 7440 7890 8153 9468 10520 11160 11835 12624 15780 16306 18936 21040 22320 23670 24459 31560 32612 37872 40765 47340 48918 63120 65224 73377 81530 94680 97836 122295 130448 146754 163060 189360 195672 244590 293508 326120 366885 391344 489180 587016 652240 733770 978360 1174032 1467540 1956720 2935080 5870160