Search a number
-
+
1148028 = 223779173
BaseRepresentation
bin100011000010001111100
32011022210120
410120101330
5243214103
640334540
712521010
oct4302174
92138716
101148028
11714592
12474450
1331270b
1421c540
1517a253
hex11847c

1148028 has 48 divisors (see below), whose sum is σ = 3118080. Its totient is φ = 321984.

The previous prime is 1147997. The next prime is 1148029. The reversal of 1148028 is 8208411.

1148028 = T67 + T68 + ... + T192.

It is a junction number, because it is equal to n+sod(n) for n = 1147989 and 1148007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6550 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (64960).

21148028 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 1148028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559040).

1148028 is an abundant number, since it is smaller than the sum of its proper divisors (1970052).

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

1148028 is a wasteful number, since it uses less digits than its factorization.

1148028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1148028 is about 1071.4606852330. The cubic root of 1148028 is about 104.7090357269.

The spelling of 1148028 in words is "one million, one hundred forty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 173 237 316 346 474 519 553 692 948 1038 1106 1211 1659 2076 2212 2422 3318 3633 4844 6636 7266 13667 14532 27334 41001 54668 82002 95669 164004 191338 287007 382676 574014 1148028