Search a number
-
+
1193424 = 24323247
BaseRepresentation
bin100100011010111010000
32020122001220
410203113100
5301142144
641325040
713100241
oct4432720
92218056
101193424
11745701
12496780
1332a28b
14230cc8
15188919
hex1235d0

1193424 has 60 divisors (see below), whose sum is σ = 3291456. Its totient is φ = 372416.

The previous prime is 1193399. The next prime is 1193429. The reversal of 1193424 is 4243911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1193394 and 1193403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193429) 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, 25369 + ... + 25415.

21193424 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 1193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645728).

1193424 is an abundant number, since it is smaller than the sum of its proper divisors (2098032).

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

1193424 is a wasteful number, since it uses less digits than its factorization.

1193424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1193424 is about 1092.4394720075. The cubic root of 1193424 is about 106.0713889577.

The spelling of 1193424 in words is "one million, one hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 529 552 564 752 1058 1081 1104 1128 1587 2116 2162 2256 3174 3243 4232 4324 6348 6486 8464 8648 12696 12972 17296 24863 25392 25944 49726 51888 74589 99452 149178 198904 298356 397808 596712 1193424