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5325000 = 2335571
BaseRepresentation
bin10100010100000011001000
3101000112112020
4110110003020
52330400000
6310044440
763155532
oct24240310
911015466
105325000
11300782a
121949720
1311459b5
149c8852
15702ba0
hex5140c8

5325000 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1400000.

The previous prime is 5324999. The next prime is 5325013. The reversal of 5325000 is 5235.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74965 + ... + 75035.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 25325000 is an apocalyptic number.

5325000 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 5325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5325000 is an abundant number, since it is smaller than the sum of its proper divisors (11548920).

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

5325000 is an equidigital number, since it uses as much as digits as its factorization.

5325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5325000 is about 2307.5961518429. The cubic root of 5325000 is about 174.6250475462.

The spelling of 5325000 in words is "five million, three hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 625 710 750 852 1000 1065 1250 1420 1500 1704 1775 1875 2130 2500 2840 3000 3125 3550 3750 4260 5000 5325 6250 7100 7500 8520 8875 9375 10650 12500 14200 15000 17750 18750 21300 25000 26625 35500 37500 42600 44375 53250 71000 75000 88750 106500 133125 177500 213000 221875 266250 355000 443750 532500 665625 887500 1065000 1331250 1775000 2662500 5325000