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5359900 = 22527131931
BaseRepresentation
bin10100011100100100011100
3101002022101211
4110130210130
52333004100
6310514204
763362350
oct24344434
911068354
105359900
113030a77
121965964
131158850
149d7460
1570d1ba
hex51c91c

5359900 has 144 divisors (see below), whose sum is σ = 15554560. Its totient is φ = 1555200.

The previous prime is 5359877. The next prime is 5359901. The reversal of 5359900 is 99535.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172885 + ... + 172915.

Almost surely, 25359900 is an apocalyptic number.

5359900 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 5359900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777280).

5359900 is an abundant number, since it is smaller than the sum of its proper divisors (10194660).

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

5359900 is a wasteful number, since it uses less digits than its factorization.

5359900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 5359900 is about 2315.1457837467. The cubic root of 5359900 is about 175.0057140991.

The spelling of 5359900 in words is "five million, three hundred fifty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 31 35 38 50 52 62 65 70 76 91 95 100 124 130 133 140 155 175 182 190 217 247 260 266 310 325 350 364 380 403 434 455 475 494 532 589 620 650 665 700 775 806 868 910 950 988 1085 1178 1235 1300 1330 1550 1612 1729 1820 1900 2015 2170 2275 2356 2470 2660 2821 2945 3100 3325 3458 4030 4123 4340 4550 4940 5425 5642 5890 6175 6650 6916 7657 8060 8246 8645 9100 10075 10850 11284 11780 12350 13300 14105 14725 15314 16492 17290 20150 20615 21700 24700 28210 29450 30628 34580 38285 40300 41230 43225 53599 56420 58900 70525 76570 82460 86450 103075 107198 141050 153140 172900 191425 206150 214396 267995 282100 382850 412300 535990 765700 1071980 1339975 2679950 5359900