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5325300 = 2232526197
BaseRepresentation
bin10100010100000111110100
3101000112221100
4110110013310
52330402200
6310050100
763156441
oct24240764
911015840
105325300
113007a82
121949930
131145b86
149c89c8
15702d00
hex5141f4

5325300 has 108 divisors (see below), whose sum is σ = 17140396. Its totient is φ = 1382400.

The previous prime is 5325293. The next prime is 5325319. The reversal of 5325300 is 35235.

It can be written as a sum of positive squares in 6 ways, for example, as 1089936 + 4235364 = 1044^2 + 2058^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54852 + ... + 54948.

Almost surely, 25325300 is an apocalyptic number.

5325300 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 5325300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570198).

5325300 is an abundant number, since it is smaller than the sum of its proper divisors (11815096).

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

5325300 is a wasteful number, since it uses less digits than its factorization.

5325300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5325300 is about 2307.6611536359. The cubic root of 5325300 is about 174.6283268283.

It can be divided in two parts, 5325 and 300, that added together give a square (5625 = 752).

The spelling of 5325300 in words is "five million, three hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 97 100 122 150 180 183 194 225 244 291 300 305 366 388 450 485 549 582 610 732 873 900 915 970 1098 1164 1220 1455 1525 1746 1830 1940 2196 2425 2745 2910 3050 3492 3660 4365 4575 4850 5490 5820 5917 6100 7275 8730 9150 9700 10980 11834 13725 14550 17460 17751 18300 21825 23668 27450 29100 29585 35502 43650 53253 54900 59170 71004 87300 88755 106506 118340 147925 177510 213012 266265 295850 355020 443775 532530 591700 887550 1065060 1331325 1775100 2662650 5325300