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2925000 = 23325513
BaseRepresentation
bin1011001010000111001000
312111121100100
423022013020
51222100000
6142405400
733601461
oct13120710
95447310
102925000
111718661
12b90860
137b5490
14561d68
153cba00
hex2ca1c8

2925000 has 144 divisors (see below), whose sum is σ = 10663380. Its totient is φ = 720000.

The previous prime is 2924983. The next prime is 2925001. The reversal of 2925000 is 5292.

It can be written as a sum of positive squares in 6 ways, for example, as 799236 + 2125764 = 894^2 + 1458^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2925001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224994 + ... + 225006.

22925000 is an apocalyptic number.

2925000 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 2925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331690).

2925000 is an abundant number, since it is smaller than the sum of its proper divisors (7738380).

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

2925000 is a wasteful number, since it uses less digits than its factorization.

2925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2925000 is about 1710.2631376487. The cubic root of 2925000 is about 143.0129252992.

The spelling of 2925000 in words is "two million, nine hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 125 130 150 156 180 195 200 225 234 250 260 300 312 325 360 375 390 450 468 500 520 585 600 625 650 750 780 900 936 975 1000 1125 1170 1250 1300 1500 1560 1625 1800 1875 1950 2250 2340 2500 2600 2925 3000 3125 3250 3750 3900 4500 4680 4875 5000 5625 5850 6250 6500 7500 7800 8125 9000 9375 9750 11250 11700 12500 13000 14625 15000 16250 18750 19500 22500 23400 24375 25000 28125 29250 32500 37500 39000 40625 45000 48750 56250 58500 65000 73125 75000 81250 97500 112500 117000 121875 146250 162500 195000 225000 243750 292500 325000 365625 487500 585000 731250 975000 1462500 2925000