Search a number
-
+
1299136020 = 22357213191789
BaseRepresentation
bin100110101101111…
…0011111000010100
310100112112221120220
41031123303320110
510130034323040
6332524554340
744123321400
oct11533637024
93315487526
101299136020
11607368136
123030b29b0
131791c4950
14c4778100
15790be2d0
hex4d6f3e14

1299136020 has 288 divisors, whose sum is σ = 4799491200. Its totient is φ = 259531776.

The previous prime is 1299136019. The next prime is 1299136031. The reversal of 1299136020 is 206319921.

It is a super-2 number, since 2×12991360202 = 3375508796922880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725286 + ... + 727074.

It is an arithmetic number, because the mean of its divisors is an integer number (16664900).

Almost surely, 21299136020 is an apocalyptic number.

1299136020 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 1299136020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399745600).

1299136020 is an abundant number, since it is smaller than the sum of its proper divisors (3500355180).

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

1299136020 is a wasteful number, since it uses less digits than its factorization.

1299136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1299136020 is about 36043.5295164056. The cubic root of 1299136020 is about 1091.1510495757.

The spelling of 1299136020 in words is "one billion, two hundred ninety-nine million, one hundred thirty-six thousand, twenty".