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11977368 = 2331322953
BaseRepresentation
bin101101101100…
…001010011000
3211112111212020
4231230022120
511031233433
61104414440
7203543304
oct55541230
924474766
1011977368
116840857
124017420
132634900
14183ad04
1510b8cb3
hexb6c298

11977368 has 48 divisors (see below), whose sum is σ = 32434920. Its totient is φ = 3684096.

The previous prime is 11977363. The next prime is 11977369. The reversal of 11977368 is 86377911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11977363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2580 + ... + 5532.

Almost surely, 211977368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11977368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217460).

11977368 is an abundant number, since it is smaller than the sum of its proper divisors (20457552).

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

11977368 is a wasteful number, since it uses less digits than its factorization.

11977368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2971 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 11977368 is about 3460.8334256361. The cubic root of 11977368 is about 228.7988291951.

The spelling of 11977368 in words is "eleven million, nine hundred seventy-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2953 4056 5906 8859 11812 17718 23624 35436 38389 70872 76778 115167 153556 230334 307112 460668 499057 921336 998114 1497171 1996228 2994342 3992456 5988684 11977368