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5355900 = 22325211541
BaseRepresentation
bin10100011011100101111100
3101002002220200
4110123211330
52332342100
6310443500
763344604
oct24334574
911062820
105355900
113028a70
121963590
131156a94
149d5c04
1570be00
hex51b97c

5355900 has 108 divisors (see below), whose sum is σ = 18347784. Its totient is φ = 1296000.

The previous prime is 5355899. The next prime is 5355919. The reversal of 5355900 is 95535.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9630 + ... + 10170.

Almost surely, 25355900 is an apocalyptic number.

5355900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5355900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173892).

5355900 is an abundant number, since it is smaller than the sum of its proper divisors (12991884).

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

5355900 is a wasteful number, since it uses less digits than its factorization.

5355900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 5355900 is about 2314.2817460283. The cubic root of 5355900 is about 174.9621686930.

The spelling of 5355900 in words is "five million, three hundred fifty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 541 550 660 825 900 990 1082 1100 1623 1650 1980 2164 2475 2705 3246 3300 4869 4950 5410 5951 6492 8115 9738 9900 10820 11902 13525 16230 17853 19476 23804 24345 27050 29755 32460 35706 40575 48690 53559 54100 59510 71412 81150 89265 97380 107118 119020 121725 148775 162300 178530 214236 243450 267795 297550 357060 446325 486900 535590 595100 892650 1071180 1338975 1785300 2677950 5355900