Search a number
-
+
1300214130 = 2352910913711
BaseRepresentation
bin100110101111111…
…1011000101110010
310100121120201110220
41031133323011302
510130323323010
6333004033510
744135431515
oct11537730562
93317521426
101300214130
11607a34136
12303532896
131794b1597
14c4978d7c
1579233970
hex4d7fb172

1300214130 has 64 divisors (see below), whose sum is σ = 3257971200. Its totient is φ = 331672320.

The previous prime is 1300214089. The next prime is 1300214131. The reversal of 1300214130 is 314120031.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1300214131) 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 31 ways as a sum of consecutive naturals, for example, 87975 + ... + 101685.

It is an arithmetic number, because the mean of its divisors is an integer number (50905800).

Almost surely, 21300214130 is an apocalyptic number.

1300214130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628985600).

1300214130 is an abundant number, since it is smaller than the sum of its proper divisors (1957757070).

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

1300214130 is a wasteful number, since it uses less digits than its factorization.

1300214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13859.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1300214130 is about 36058.4820811969. The cubic root of 1300214130 is about 1091.4528028375.

Adding to 1300214130 its reverse (314120031), we get a palindrome (1614334161).

The spelling of 1300214130 in words is "one billion, three hundred million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 109 145 174 218 290 327 435 545 654 870 1090 1635 3161 3270 6322 9483 13711 15805 18966 27422 31610 41133 47415 68555 82266 94830 137110 205665 397619 411330 795238 1192857 1494499 1988095 2385714 2988998 3976190 4483497 5964285 7472495 8966994 11928570 14944990 22417485 43340471 44834970 86680942 130021413 216702355 260042826 433404710 650107065 1300214130