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5885280 = 253256167
BaseRepresentation
bin10110011100110101100000
3102002000002100
4112130311200
53001312110
6330050400
7101011152
oct26346540
912060070
105885280
11335a775
121b79a00
1312b0a1b
14ad2ad2
157b3bc0
hex59cd60

5885280 has 144 divisors (see below), whose sum is σ = 20717424. Its totient is φ = 1520640.

The previous prime is 5885267. The next prime is 5885311. The reversal of 5885280 is 825885.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 87807 + ... + 87873.

It is an arithmetic number, because the mean of its divisors is an integer number (143871).

Almost surely, 25885280 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 5885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712).

5885280 is an abundant number, since it is smaller than the sum of its proper divisors (14832144).

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

5885280 is a wasteful number, since it uses less digits than its factorization.

5885280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5885280 is about 2425.9596039506. The cubic root of 5885280 is about 180.5464873114.

The spelling of 5885280 in words is "five million, eight hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 67 72 80 90 96 120 122 134 144 160 180 183 201 240 244 268 288 305 335 360 366 402 480 488 536 549 603 610 670 720 732 804 915 976 1005 1072 1098 1206 1220 1340 1440 1464 1608 1830 1952 2010 2144 2196 2412 2440 2680 2745 2928 3015 3216 3660 4020 4087 4392 4824 4880 5360 5490 5856 6030 6432 7320 8040 8174 8784 9648 9760 10720 10980 12060 12261 14640 16080 16348 17568 19296 20435 21960 24120 24522 29280 32160 32696 36783 40870 43920 48240 49044 61305 65392 73566 81740 87840 96480 98088 122610 130784 147132 163480 183915 196176 245220 294264 326960 367830 392352 490440 588528 653920 735660 980880 1177056 1471320 1961760 2942640 5885280