Search a number
-
+
1054011300 = 223523513371
BaseRepresentation
bin111110110100101…
…110111110100100
32201110022022200120
4332310232332210
54124311330200
6252331041540
735055643146
oct7664567644
92643268616
101054011300
114a0a64321
12254ba02b0
1313a49b334
149ddaac96
15627ee9a0
hex3ed2efa4

1054011300 has 36 divisors (see below), whose sum is σ = 3049606896. Its totient is φ = 281069600.

The previous prime is 1054011289. The next prime is 1054011307. The reversal of 1054011300 is 31104501.

1054011300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540113002 = 2221879641055380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1054011300.

It is not an unprimeable number, because it can be changed into a prime (1054011307) 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 11 ways as a sum of consecutive naturals, for example, 1756386 + ... + 1756985.

Almost surely, 21054011300 is an apocalyptic number.

1054011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054011300 is an abundant number, since it is smaller than the sum of its proper divisors (1995595596).

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

1054011300 is a wasteful number, since it uses less digits than its factorization.

1054011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513388 (or 3513381 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1054011300 is about 32465.5401926412. The cubic root of 1054011300 is about 1017.6890202558.

Adding to 1054011300 its reverse (31104501), we get a palindrome (1085115801).

The spelling of 1054011300 in words is "one billion, fifty-four million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3513371 7026742 10540113 14053484 17566855 21080226 35133710 42160452 52700565 70267420 87834275 105401130 175668550 210802260 263502825 351337100 527005650 1054011300