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11980300 = 2252472549
BaseRepresentation
bin101101101100…
…111000001100
3211112122212211
4231230320030
511031332200
61104440204
7203554663
oct55547014
924478784
1011980300
116842a82
124019064
132636047
14183bdda
1510b9aba
hexb6ce0c

11980300 has 36 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 4688320.

The previous prime is 11980261. The next prime is 11980301. The reversal of 11980300 is 308911.

11980300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11980301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3426 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (737800).

Almost surely, 211980300 is an apocalyptic number.

11980300 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 11980300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

11980300 is an abundant number, since it is smaller than the sum of its proper divisors (14580500).

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

11980300 is a wasteful number, since it uses less digits than its factorization.

11980300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11980300 is about 3461.2569971038. The cubic root of 11980300 is about 228.8174972763.

The spelling of 11980300 in words is "eleven million, nine hundred eighty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2549 4700 5098 10196 12745 25490 50980 63725 119803 127450 239606 254900 479212 599015 1198030 2396060 2995075 5990150 11980300