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11401984 = 28114049
BaseRepresentation
bin101011011111…
…101100000000
3210110021120201
4223133230000
510404330414
61044214544
7165625636
oct53375400
923407521
1011401984
116488530
12399a454
132492a49
14172b356
151003574
hexadfb00

11401984 has 36 divisors (see below), whose sum is σ = 24834600. Its totient is φ = 5181440.

The previous prime is 11401981. The next prime is 11401987. The reversal of 11401984 is 48910411.

11401984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11401981) and next prime (11401987).

It is not an unprimeable number, because it can be changed into a prime (11401981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 792 + ... + 4840.

It is an arithmetic number, because the mean of its divisors is an integer number (689850).

Almost surely, 211401984 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 11401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417300).

11401984 is an abundant number, since it is smaller than the sum of its proper divisors (13432616).

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

11401984 is an equidigital number, since it uses as much as digits as its factorization.

11401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 11401984 is about 3376.6823954882. The cubic root of 11401984 is about 225.0747669219.

The spelling of 11401984 in words is "eleven million, four hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4049 8098 16196 32392 44539 64784 89078 129568 178156 259136 356312 518272 712624 1036544 1425248 2850496 5700992 11401984