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5414500 = 2253721317
BaseRepresentation
bin10100101001111001100100
3101012002022001
4110221321210
52341231000
6312015044
764010500
oct24517144
911162261
105414500
113068aa3
121991484
131177660
14a0d300
1571e46a
hex529e64

5414500 has 144 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1612800.

The previous prime is 5414477. The next prime is 5414537. The reversal of 5414500 is 54145.

It can be written as a sum of positive squares in 8 ways, for example, as 1999396 + 3415104 = 1414^2 + 1848^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 318492 + ... + 318508.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 25414500 is an apocalyptic number.

5414500 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 5414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5414500 is an abundant number, since it is smaller than the sum of its proper divisors (10270988).

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

5414500 is a wasteful number, since it uses less digits than its factorization.

5414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5414500 is about 2326.9078194033. The cubic root of 5414500 is about 175.5979545322.

Adding to 5414500 its reverse (54145), we get a palindrome (5468645).

Multiplying 5414500 by its reverse (54145), we get a square (293168102500 = 5414502).

5414500 divided by its reverse (54145) gives a square (100 = 102).

It can be divided in two parts, 541 and 4500, that added together give a square (5041 = 712).

The spelling of 5414500 in words is "five million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 49 50 52 65 68 70 85 91 98 100 119 125 130 140 170 175 182 196 221 238 245 250 260 325 340 350 364 425 442 455 476 490 500 595 637 650 700 833 850 875 884 910 980 1105 1190 1225 1274 1300 1547 1625 1666 1700 1750 1820 2125 2210 2275 2380 2450 2548 2975 3094 3185 3250 3332 3500 4165 4250 4420 4550 4900 5525 5950 6125 6188 6370 6500 7735 8330 8500 9100 10829 11050 11375 11900 12250 12740 14875 15470 15925 16660 20825 21658 22100 22750 24500 27625 29750 30940 31850 38675 41650 43316 45500 54145 55250 59500 63700 77350 79625 83300 104125 108290 110500 154700 159250 193375 208250 216580 270725 318500 386750 416500 541450 773500 1082900 1353625 2707250 5414500