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5214300 = 22352713191
BaseRepresentation
bin10011111001000001011100
3100210220200020
4103321001130
52313324200
6303432140
762215020
oct23710134
910726606
105214300
112a41643
1218b5650
1311074b0
1499a380
156ceea0
hex4f905c

5214300 has 144 divisors (see below), whose sum is σ = 18665472. Its totient is φ = 1094400.

The previous prime is 5214289. The next prime is 5214301. The reversal of 5214300 is 34125.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27205 + ... + 27395.

Almost surely, 25214300 is an apocalyptic number.

5214300 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 5214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332736).

5214300 is an abundant number, since it is smaller than the sum of its proper divisors (13451172).

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

5214300 is a wasteful number, since it uses less digits than its factorization.

5214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5214300 is about 2283.4841799321. The cubic root of 5214300 is about 173.4064862165.

Adding to 5214300 its reverse (34125), we get a palindrome (5248425).

The spelling of 5214300 in words is "five million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 191 195 210 260 273 300 325 350 364 382 390 420 455 525 546 573 650 700 764 780 910 955 975 1050 1092 1146 1300 1337 1365 1820 1910 1950 2100 2275 2292 2483 2674 2730 2865 3820 3900 4011 4550 4775 4966 5348 5460 5730 6685 6825 7449 8022 9100 9550 9932 11460 12415 13370 13650 14325 14898 16044 17381 19100 20055 24830 26740 27300 28650 29796 33425 34762 37245 40110 49660 52143 57300 62075 66850 69524 74490 80220 86905 100275 104286 124150 133700 148980 173810 186225 200550 208572 248300 260715 347620 372450 401100 434525 521430 744900 869050 1042860 1303575 1738100 2607150 5214300