Search a number
-
+
1148960 = 25543167
BaseRepresentation
bin100011000100000100000
32011101002002
410120200200
5243231320
640343132
712523511
oct4304040
92141062
101148960
1171525a
12474aa8
13312c77
1421ca08
1517a675
hex118820

1148960 has 48 divisors (see below), whose sum is σ = 2794176. Its totient is φ = 446208.

The previous prime is 1148957. The next prime is 1148963. The reversal of 1148960 is 698411.

It is an interprime number because it is at equal distance from previous prime (1148957) and next prime (1148963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148963) 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 7 ways as a sum of consecutive naturals, for example, 6797 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

21148960 is an apocalyptic number.

1148960 is a gapful number since it is divisible by the number (10) 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 1148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088).

1148960 is an abundant number, since it is smaller than the sum of its proper divisors (1645216).

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

1148960 is a wasteful number, since it uses less digits than its factorization.

1148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1148960 is about 1071.8955172963. The cubic root of 1148960 is about 104.7373632662.

The spelling of 1148960 in words is "one million, one hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 167 172 215 334 344 430 668 688 835 860 1336 1376 1670 1720 2672 3340 3440 5344 6680 6880 7181 13360 14362 26720 28724 35905 57448 71810 114896 143620 229792 287240 574480 1148960