Search a number
-
+
1131984 = 243271123
BaseRepresentation
bin100010100010111010000
32010111210100
410110113100
5242210414
640132400
712423150
oct4242720
92114710
101131984
11703527
12467100
13308319
14216760
15175609
hex1145d0

1131984 has 60 divisors (see below), whose sum is σ = 3623776. Its totient is φ = 323136.

The previous prime is 1131973. The next prime is 1131997. The reversal of 1131984 is 4891311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 1569.

21131984 is an apocalyptic number.

1131984 is a gapful number since it is divisible by the number (14) 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 1131984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811888).

1131984 is an abundant number, since it is smaller than the sum of its proper divisors (2491792).

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

1131984 is a wasteful number, since it uses less digits than its factorization.

1131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1131984 is about 1063.9473671193. The cubic root of 1131984 is about 104.2189666613.

The spelling of 1131984 in words is "one million, one hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1123 2246 3369 4492 6738 7861 8984 10107 13476 15722 17968 20214 23583 26952 31444 40428 47166 53904 62888 70749 80856 94332 125776 141498 161712 188664 282996 377328 565992 1131984