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5406180 = 22351329239
BaseRepresentation
bin10100100111110111100100
3101011122212220
4110213313210
52340444210
6311512340
763644313
oct24476744
911148786
105406180
11306281a
1219886b0
131173930
14a0a27a
1571bc70
hex527de4

5406180 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1279488.

The previous prime is 5406139. The next prime is 5406197. The reversal of 5406180 is 816045.

5406180 = T29 + T30 + ... + T318.

It is a self number, because there is not a number n which added to its sum of digits gives 5406180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22501 + ... + 22739.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25406180 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 5406180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5406180 is an abundant number, since it is smaller than the sum of its proper divisors (11528220).

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

5406180 is a wasteful number, since it uses less digits than its factorization.

5406180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5406180 is about 2325.1193517753. The cubic root of 5406180 is about 175.5079662945.

The spelling of 5406180 in words is "five million, four hundred six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 239 260 290 348 377 390 435 478 580 717 754 780 870 956 1131 1195 1434 1508 1740 1885 2262 2390 2868 3107 3585 3770 4524 4780 5655 6214 6931 7170 7540 9321 11310 12428 13862 14340 15535 18642 20793 22620 27724 31070 34655 37284 41586 46605 62140 69310 83172 90103 93210 103965 138620 180206 186420 207930 270309 360412 415860 450515 540618 901030 1081236 1351545 1802060 2703090 5406180