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11948980 = 2252692221
BaseRepresentation
bin101101100101…
…001110110100
3211111001220211
4231211032310
511024331410
61104035204
7203364451
oct55451664
924431824
1011948980
11682149a
124002b04
132624a04
141830828
1510b068a
hexb653b4

11948980 has 24 divisors (see below), whose sum is σ = 25197480. Its totient is φ = 4759680.

The previous prime is 11948971. The next prime is 11949001. The reversal of 11948980 is 8984911.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 11682724 = 516^2 + 3418^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4270 + ... + 6490.

It is an arithmetic number, because the mean of its divisors is an integer number (1049895).

Almost surely, 211948980 is an apocalyptic number.

11948980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11948980 is an abundant number, since it is smaller than the sum of its proper divisors (13248500).

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

11948980 is a wasteful number, since it uses less digits than its factorization.

11948980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 11948980 is about 3456.7296683426. The cubic root of 11948980 is about 228.6179246929.

The spelling of 11948980 in words is "eleven million, nine hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2221 2690 4442 5380 8884 11105 22210 44420 597449 1194898 2389796 2987245 5974490 11948980