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1148056 = 237131983
BaseRepresentation
bin100011000010010011000
32011022211121
410120102120
5243214211
640335024
712521050
oct4302230
92138747
101148056
11714608
12474474
13312730
1421c560
1517a271
hex118498

1148056 has 64 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 425088.

The previous prime is 1148047. The next prime is 1148087. The reversal of 1148056 is 6508411.

1148056 is nontrivially palindromic in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1148056.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13791 + ... + 13873.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

21148056 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 1148056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

1148056 is an abundant number, since it is smaller than the sum of its proper divisors (1674344).

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

1148056 is a wasteful number, since it uses less digits than its factorization.

1148056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1148056 is about 1071.4737514284. The cubic root of 1148056 is about 104.7098869922.

The spelling of 1148056 in words is "one million, one hundred forty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 83 91 104 133 152 166 182 247 266 332 364 494 532 581 664 728 988 1064 1079 1162 1577 1729 1976 2158 2324 3154 3458 4316 4648 6308 6916 7553 8632 11039 12616 13832 15106 20501 22078 30212 41002 44156 60424 82004 88312 143507 164008 287014 574028 1148056