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11980296 = 2332166393
BaseRepresentation
bin101101101100…
…111000001000
3211112122212200
4231230320020
511031332141
61104440200
7203554656
oct55547010
924478780
1011980296
116842a79
124019060
132636043
14183bdd6
1510b9ab6
hexb6ce08

11980296 has 24 divisors (see below), whose sum is σ = 32446830. Its totient is φ = 3993408.

The previous prime is 11980261. The next prime is 11980301. The reversal of 11980296 is 69208911.

It can be written as a sum of positive squares in only one way, i.e., 11655396 + 324900 = 3414^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11980296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83125 + ... + 83268.

Almost surely, 211980296 is an apocalyptic number.

It is an amenable number.

11980296 is an abundant number, since it is smaller than the sum of its proper divisors (20466534).

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

11980296 is a wasteful number, since it uses less digits than its factorization.

11980296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166405 (or 166398 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11980296 is about 3461.2564192790. The cubic root of 11980296 is about 228.8174718103.

The spelling of 11980296 in words is "eleven million, nine hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166393 332786 499179 665572 998358 1331144 1497537 1996716 2995074 3993432 5990148 11980296