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5358480 = 243583269
BaseRepresentation
bin10100011100001110010000
3101002020110020
4110130032100
52332432410
6310503440
763355251
oct24341620
911066406
105358480
11302a9a6
121964b80
131157cca
149d6b28
1570ca70
hex51c390

5358480 has 80 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1406464.

The previous prime is 5358469. The next prime is 5358497. The reversal of 5358480 is 848535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19786 + ... + 20054.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 25358480 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 5358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5358480 is an abundant number, since it is smaller than the sum of its proper divisors (11515440).

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

5358480 is a wasteful number, since it uses less digits than its factorization.

5358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5358480 is about 2314.8390872802. The cubic root of 5358480 is about 174.9902579611.

The spelling of 5358480 in words is "five million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 269 332 415 498 538 664 807 830 996 1076 1245 1328 1345 1614 1660 1992 2152 2490 2690 3228 3320 3984 4035 4304 4980 5380 6456 6640 8070 9960 10760 12912 16140 19920 21520 22327 32280 44654 64560 66981 89308 111635 133962 178616 223270 267924 334905 357232 446540 535848 669810 893080 1071696 1339620 1786160 2679240 5358480