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2130706136 = 231331221319
BaseRepresentation
bin111111011111111…
…1111111011011000
312111111022002100002
41332333333323120
513330430044021
6551232232132
7103541463146
oct17677777330
95444262302
102130706136
119a3801069
124b569b648
1327c57c380
14162da0596
15c70d050b
hex7efffed8

2130706136 has 48 divisors (see below), whose sum is σ = 4445859600. Its totient is φ = 951635520.

The previous prime is 2130706133. The next prime is 2130706139. The reversal of 2130706136 is 6316070312.

It is an interprime number because it is at equal distance from previous prime (2130706133) and next prime (2130706139).

It is a junction number, because it is equal to n+sod(n) for n = 2130706099 and 2130706108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130706133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89285 + ... + 110603.

It is an arithmetic number, because the mean of its divisors is an integer number (92622075).

Almost surely, 22130706136 is an apocalyptic number.

2130706136 is a gapful number since it is divisible by the number (26) 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 2130706136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222929800).

2130706136 is an abundant number, since it is smaller than the sum of its proper divisors (2315153464).

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

2130706136 is a wasteful number, since it uses less digits than its factorization.

2130706136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400 (or 21365 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 2130706136 is about 46159.5725283500. The cubic root of 2130706136 is about 1286.7905184128.

Adding to 2130706136 its reverse (6316070312), we get a palindrome (8446776448).

The spelling of 2130706136 in words is "two billion, one hundred thirty million, seven hundred six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 961 1612 1922 3224 3844 7688 12493 21319 24986 42638 49972 85276 99944 170552 277147 554294 660889 1108588 1321778 2217176 2643556 5287112 8591557 17183114 20487559 34366228 40975118 68732456 81950236 163900472 266338267 532676534 1065353068 2130706136