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896280 = 233571197
BaseRepresentation
bin11011010110100011000
31200112110120
43122310120
5212140110
631113240
710422030
oct3326430
91615416
10896280
11562430
12372820
13254c58
141948c0
1512a870
hexdad18

896280 has 128 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 184320.

The previous prime is 896263. The next prime is 896281. The reversal of 896280 is 82698.

896280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9192 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2896280 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 896280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

896280 is an abundant number, since it is smaller than the sum of its proper divisors (2490600).

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

896280 is a wasteful number, since it uses less digits than its factorization.

896280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 896280 is about 946.7206557375. The cubic root of 896280 is about 96.4157317806.

It can be divided in two parts, 896 and 280, that added together give a triangular number (1176 = T48).

The spelling of 896280 in words is "eight hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 97 105 110 120 132 140 154 165 168 194 210 220 231 264 280 291 308 330 385 388 420 440 462 485 582 616 660 679 770 776 840 924 970 1067 1155 1164 1320 1358 1455 1540 1848 1940 2037 2134 2310 2328 2716 2910 3080 3201 3395 3880 4074 4268 4620 5335 5432 5820 6402 6790 7469 8148 8536 9240 10185 10670 11640 12804 13580 14938 16005 16296 20370 21340 22407 25608 27160 29876 32010 37345 40740 42680 44814 59752 64020 74690 81480 89628 112035 128040 149380 179256 224070 298760 448140 896280