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11991840 = 253574383
BaseRepresentation
bin101101101111…
…101100100000
3211120020201020
4231233230200
511032214330
61105005440
7203633430
oct55575440
924506636
1011991840
116850713
124023880
13263b383
1418422c0
1510bd210
hexb6fb20

11991840 has 192 divisors, whose sum is σ = 44706816. Its totient is φ = 2644992.

The previous prime is 11991839. The next prime is 11991911. The reversal of 11991840 is 4819911.

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 31 ways as a sum of consecutive naturals, for example, 144439 + ... + 144521.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 211991840 is an apocalyptic number.

11991840 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 11991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

11991840 is an abundant number, since it is smaller than the sum of its proper divisors (32714976).

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

11991840 is a wasteful number, since it uses less digits than its factorization.

11991840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 11991840 is about 3462.9236202954. The cubic root of 11991840 is about 228.8909430313.

The spelling of 11991840 in words is "eleven million, nine hundred ninety-one thousand, eight hundred forty".