Search a number
-
+
2007161324 = 227261167879
BaseRepresentation
bin111011110100010…
…1101100111101100
312011212211100201022
41313220231213230
513102313130244
6531100233312
7100511406200
oct16750554754
95155740638
102007161324
1193aa99013
1248023b838
1325cab3b2c
14150800b00
15bb3296ee
hex77a2d9ec

2007161324 has 36 divisors (see below), whose sum is σ = 4153015440. Its totient is φ = 846105120.

The previous prime is 2007161323. The next prime is 2007161327. The reversal of 2007161324 is 4231617002.

It is a super-2 number, since 2×20071613242 = 8057393161122865952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2007161293 and 2007161302.

It is not an unprimeable number, because it can be changed into a prime (2007161323) 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, 71984 + ... + 95895.

It is an arithmetic number, because the mean of its divisors is an integer number (115361540).

Almost surely, 22007161324 is an apocalyptic number.

It is an amenable number.

2007161324 is an abundant number, since it is smaller than the sum of its proper divisors (2145854116).

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

2007161324 is a wasteful number, since it uses less digits than its factorization.

2007161324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167958 (or 167949 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2007161324 is about 44801.3540420376. The cubic root of 2007161324 is about 1261.4230424184.

Adding to 2007161324 its reverse (4231617002), we get a palindrome (6238778326).

The spelling of 2007161324 in words is "two billion, seven million, one hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 11956 167879 335758 671516 1175153 2350306 4700612 8226071 10240619 16452142 20481238 32904284 40962476 71684333 143368666 286737332 501790331 1003580662 2007161324