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5121900 = 2233527271
BaseRepresentation
bin10011100010011101101100
3100122012221000
4103202131230
52302400100
6301440300
761351440
oct23423554
910565830
105121900
112989183
121870090
1310a4414
14974820
156b2900
hex4e276c

5121900 has 144 divisors (see below), whose sum is σ = 18887680. Its totient is φ = 1166400.

The previous prime is 5121889. The next prime is 5121901. The reversal of 5121900 is 91215.

5121900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51219002 = 52467719220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5121901) 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, 18765 + ... + 19035.

Almost surely, 25121900 is an apocalyptic number.

5121900 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 5121900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443840).

5121900 is an abundant number, since it is smaller than the sum of its proper divisors (13765780).

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

5121900 is a wasteful number, since it uses less digits than its factorization.

5121900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5121900 is about 2263.1615055051. The cubic root of 5121900 is about 172.3760924925.

The spelling of 5121900 in words is "five million, one hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 271 300 315 350 378 420 450 525 540 542 630 675 700 756 813 900 945 1050 1084 1260 1350 1355 1575 1626 1890 1897 2100 2439 2700 2710 3150 3252 3780 3794 4065 4725 4878 5420 5691 6300 6775 7317 7588 8130 9450 9485 9756 11382 12195 13550 14634 16260 17073 18900 18970 20325 22764 24390 27100 28455 29268 34146 36585 37940 40650 47425 48780 51219 56910 60975 68292 73170 81300 85365 94850 102438 113820 121950 142275 146340 170730 182925 189700 204876 243900 256095 284550 341460 365850 426825 512190 569100 731700 853650 1024380 1280475 1707300 2560950 5121900