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12050000 = 2455241
BaseRepresentation
bin101101111101…
…111001010000
3211200012111022
4231331321100
511041100000
61110135012
7204265124
oct55757120
924605438
1012050000
116890386
124051468
13265b9a1
141859584
1510d0585
hexb7de50

12050000 has 60 divisors (see below), whose sum is σ = 29302812. Its totient is φ = 4800000.

The previous prime is 12049997. The next prime is 12050011. The reversal of 12050000 is 5021.

It can be written as a sum of positive squares in 6 ways, for example, as 8620096 + 3429904 = 2936^2 + 1852^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12050000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49880 + ... + 50120.

Almost surely, 212050000 is an apocalyptic number.

12050000 is a gapful number since it is divisible by the number (10) 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 12050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651406).

12050000 is an abundant number, since it is smaller than the sum of its proper divisors (17252812).

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

12050000 is an frugal number, since it uses more digits than its factorization.

12050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 12050000 is about 3471.3109915420. The cubic root of 12050000 is about 229.2603840750.

Adding to 12050000 its reverse (5021), we get a palindrome (12055021).

The spelling of 12050000 in words is "twelve million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 625 964 1000 1205 1250 1928 2000 2410 2500 3125 3856 4820 5000 6025 6250 9640 10000 12050 12500 19280 24100 25000 30125 48200 50000 60250 96400 120500 150625 241000 301250 482000 602500 753125 1205000 1506250 2410000 3012500 6025000 12050000