Search a number
-
+
2153640427 = 17229256967
BaseRepresentation
bin1000000001011101…
…1111000111101011
312120002110021021021
42000113133013223
513402312443202
6553411553311
7104240433031
oct20027370753
95502407237
102153640427
11a05745a24
125012bb837
1328424c263
14166050551
15c9110a37
hex805df1eb

2153640427 has 12 divisors (see below), whose sum is σ = 2366675280. Its totient is φ = 1957053056.

The previous prime is 2153640413. The next prime is 2153640449. The reversal of 2153640427 is 7240463512.

It is not a de Polignac number, because 2153640427 - 27 = 2153640299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2153640392 and 2153640401.

It is not an unprimeable number, because it can be changed into a prime (2153640527) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 120103 + ... + 136864.

It is an arithmetic number, because the mean of its divisors is an integer number (197222940).

Almost surely, 22153640427 is an apocalyptic number.

2153640427 is a deficient number, since it is larger than the sum of its proper divisors (213034853).

2153640427 is a wasteful number, since it uses less digits than its factorization.

2153640427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257030 (or 257013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2153640427 is about 46407.3316082707. The cubic root of 2153640427 is about 1291.3909294472.

The spelling of 2153640427 in words is "two billion, one hundred fifty-three million, six hundred forty thousand, four hundred twenty-seven".

Divisors: 1 17 29 289 493 8381 256967 4368439 7452043 74263463 126684731 2153640427