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11998944 = 253261683
BaseRepresentation
bin101101110001…
…011011100000
3211120121110100
4231301123200
511032431234
61105102400
7203663226
oct55613340
924517410
1011998944
116855a91
124027a00
132641689
141844b16
1510c0399
hexb716e0

11998944 has 72 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 3928320.

The previous prime is 11998933. The next prime is 11998949. The reversal of 11998944 is 44989911.

11998944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11998944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11998949) 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, 17227 + ... + 17909.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 211998944 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 11998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

11998944 is an abundant number, since it is smaller than the sum of its proper divisors (22733208).

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

11998944 is a wasteful number, since it uses less digits than its factorization.

11998944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11998944 is about 3463.9491913133. The cubic root of 11998944 is about 228.9361326568.

The spelling of 11998944 in words is "eleven million, nine hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 683 732 976 1098 1366 1464 1952 2049 2196 2732 2928 4098 4392 5464 5856 6147 8196 8784 10928 12294 16392 17568 21856 24588 32784 41663 49176 65568 83326 98352 124989 166652 196704 249978 333304 374967 499956 666608 749934 999912 1333216 1499868 1999824 2999736 3999648 5999472 11998944