Search a number
-
+
1193152 = 26103181
BaseRepresentation
bin100100011010011000000
32020121200211
410203103000
5301140102
641323504
713066402
oct4432300
92217624
101193152
11745484
12496594
1332a10c
14230b72
151887d7
hex1234c0

1193152 has 28 divisors (see below), whose sum is σ = 2403856. Its totient is φ = 587520.

The previous prime is 1193149. The next prime is 1193161. The reversal of 1193152 is 2513911.

It is a super-2 number, since 2×11931522 = 2847223390208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6502 + ... + 6682.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

21193152 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 1193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201928).

1193152 is an abundant number, since it is smaller than the sum of its proper divisors (1210704).

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

1193152 is a wasteful number, since it uses less digits than its factorization.

1193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 270, while the sum is 22.

The square root of 1193152 is about 1092.3149728901. The cubic root of 1193152 is about 106.0633299024.

The spelling of 1193152 in words is "one million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 103 181 206 362 412 724 824 1448 1648 2896 3296 5792 6592 11584 18643 37286 74572 149144 298288 596576 1193152