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11950000 = 2455239
BaseRepresentation
bin101101100101…
…011110110000
3211111010022121
4231211132300
511024400000
61104044024
7203400436
oct55453660
924433277
1011950000
116822237
124003614
13262530a
141830d56
1510b0b1a
hexb657b0

11950000 has 60 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 4760000.

The previous prime is 11949979. The next prime is 11950007. The reversal of 11950000 is 5911.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11950007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49881 + ... + 50119.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 211950000 is an apocalyptic number.

11950000 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 11950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

11950000 is an abundant number, since it is smaller than the sum of its proper divisors (17110640).

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

11950000 is an frugal number, since it uses more digits than its factorization.

11950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 11950000 is about 3456.8772034887. The cubic root of 11950000 is about 228.6244296734.

Adding to 11950000 its reverse (5911), we get a palindrome (11955911).

The spelling of 11950000 in words is "eleven million, nine hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 625 956 1000 1195 1250 1912 2000 2390 2500 3125 3824 4780 5000 5975 6250 9560 10000 11950 12500 19120 23900 25000 29875 47800 50000 59750 95600 119500 149375 239000 298750 478000 597500 746875 1195000 1493750 2390000 2987500 5975000 11950000