Search a number
-
+
1131384 = 233174759
BaseRepresentation
bin100010100001101111000
32010110222010
410110031320
5242201014
640125520
712421332
oct4241570
92113863
101131384
11703031
124668a0
13307c77
14216452
15175359
hex114378

1131384 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 341504.

The previous prime is 1131379. The next prime is 1131397. The reversal of 1131384 is 4831311.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19147 + ... + 19205.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

21131384 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 1131384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

1131384 is an abundant number, since it is smaller than the sum of its proper divisors (1979016).

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

1131384 is a wasteful number, since it uses less digits than its factorization.

1131384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1131384 is about 1063.6653609101. The cubic root of 1131384 is about 104.2005499017.

Adding to 1131384 its reverse (4831311), we get a palindrome (5962695).

The spelling of 1131384 in words is "one million, one hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 59 68 94 102 118 136 141 177 188 204 236 282 354 376 408 472 564 708 799 1003 1128 1416 1598 2006 2397 2773 3009 3196 4012 4794 5546 6018 6392 8024 8319 9588 11092 12036 16638 19176 22184 24072 33276 47141 66552 94282 141423 188564 282846 377128 565692 1131384