Search a number
-
+
1248296820 = 223520804947
BaseRepresentation
bin100101001100111…
…0111111101110100
310012222220001022120
41022121313331310
510024030444240
6323511155540
742635230221
oct11231677564
93188801276
101248296820
115906a3971
122aa075bb0
1316b804594
14bbb02948
15748caad0
hex4a677f74

1248296820 has 24 divisors (see below), whose sum is σ = 3495231264. Its totient is φ = 332879136.

The previous prime is 1248296771. The next prime is 1248296821. The reversal of 1248296820 is 286928421.

It is a super-2 number, since 2×12482968202 = 3116489901644224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248296821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10402414 + ... + 10402533.

It is an arithmetic number, because the mean of its divisors is an integer number (145634636).

Almost surely, 21248296820 is an apocalyptic number.

1248296820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248296820 is an abundant number, since it is smaller than the sum of its proper divisors (2246934444).

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

1248296820 is a wasteful number, since it uses less digits than its factorization.

1248296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20804959 (or 20804957 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1248296820 is about 35331.2442464174. The cubic root of 1248296820 is about 1076.7278706284.

The spelling of 1248296820 in words is "one billion, two hundred forty-eight million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20804947 41609894 62414841 83219788 104024735 124829682 208049470 249659364 312074205 416098940 624148410 1248296820