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5854080 = 27353049
BaseRepresentation
bin10110010101001110000000
3102000102021210
4112111032000
52444312310
6325250120
7100521201
oct26251600
912012253
105854080
113339291
121b63940
13129c76b
14ac55a8
157a9820
hex595380

5854080 has 64 divisors (see below), whose sum is σ = 18666000. Its totient is φ = 1560576.

The previous prime is 5854067. The next prime is 5854081. The reversal of 5854080 is 804585.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5854081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396 + ... + 3444.

Almost surely, 25854080 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 5854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333000).

5854080 is an abundant number, since it is smaller than the sum of its proper divisors (12811920).

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

5854080 is a wasteful number, since it uses less digits than its factorization.

5854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5854080 is about 2419.5206136754. The cubic root of 5854080 is about 180.2268744181.

The spelling of 5854080 in words is "five million, eight hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3049 6098 9147 12196 15245 18294 24392 30490 36588 45735 48784 60980 73176 91470 97568 121960 146352 182940 195136 243920 292704 365880 390272 487840 585408 731760 975680 1170816 1463520 1951360 2927040 5854080