Search a number
-
+
1193984 = 2111153
BaseRepresentation
bin100100011100000000000
32020122211122
410203200000
5301201414
641331412
713102001
oct4434000
92218748
101193984
11746070
12496b68
1332a5cc
142311a8
15188b8e
hex123800

1193984 has 48 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 532480.

The previous prime is 1193971. The next prime is 1193989. The reversal of 1193984 is 4893911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22502 + ... + 22554.

21193984 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 1193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

1193984 is an abundant number, since it is smaller than the sum of its proper divisors (1459576).

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

1193984 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (1193983) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (66).

1193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 1193984 is about 1092.6957490537. The cubic root of 1193984 is about 106.0879772754.

The spelling of 1193984 in words is "one million, one hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 512 583 704 848 1024 1166 1408 1696 2048 2332 2816 3392 4664 5632 6784 9328 11264 13568 18656 22528 27136 37312 54272 74624 108544 149248 298496 596992 1193984