Search a number
-
+
2625000 = 233567
BaseRepresentation
bin1010000000110111101000
311221100211020
422000313220
51133000000
6132132440
731212030
oct12006750
94840736
102625000
111533224
12a67120
1370ba71
144c48c0
1536cba0
hex280de8

2625000 has 112 divisors (see below), whose sum is σ = 9374880. Its totient is φ = 600000.

The previous prime is 2624989. The next prime is 2625001. The reversal of 2625000 is 5262.

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2625001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374997 + ... + 375003.

22625000 is an apocalyptic number.

2625000 is a gapful number since it is divisible by the number (20) 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 2625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687440).

2625000 is an abundant number, since it is smaller than the sum of its proper divisors (6749880).

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

2625000 is an frugal number, since it uses more digits than its factorization.

2625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

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

The square root of 2625000 is about 1620.1851746020. The cubic root of 2625000 is about 137.9462088191.

The spelling of 2625000 in words is "two million, six hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3125 3500 3750 4200 4375 5000 5250 6250 7000 7500 8750 9375 10500 12500 13125 15000 15625 17500 18750 21000 21875 25000 26250 31250 35000 37500 43750 46875 52500 62500 65625 75000 87500 93750 105000 109375 125000 131250 175000 187500 218750 262500 328125 375000 437500 525000 656250 875000 1312500 2625000