Search a number
-
+
653842129 = 4140139769
BaseRepresentation
bin100110111110001…
…101011011010001
31200120022121210011
4212332031123101
52314340422004
6144514034521
722126365163
oct4676153321
91616277704
10653842129
113060932a6
12162b78a41
13a55caa45
1462ba0933
153c606004
hex26f8d6d1

653842129 has 8 divisors (see below), whose sum is σ = 671476680. Its totient is φ = 636288000.

The previous prime is 653842127. The next prime is 653842139. The reversal of 653842129 is 921248356.

It can be written as a sum of positive squares in 4 ways, for example, as 39942400 + 613899729 = 6320^2 + 24777^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 653842129 - 21 = 653842127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 653842091 and 653842100.

It is not an unprimeable number, because it can be changed into a prime (653842121) 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 7 ways as a sum of consecutive naturals, for example, 3444 + ... + 36325.

It is an arithmetic number, because the mean of its divisors is an integer number (83934585).

Almost surely, 2653842129 is an apocalyptic number.

It is an amenable number.

653842129 is a deficient number, since it is larger than the sum of its proper divisors (17634551).

653842129 is a wasteful number, since it uses less digits than its factorization.

653842129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40211.

The product of its digits is 103680, while the sum is 40.

The square root of 653842129 is about 25570.3368964900. The cubic root of 653842129 is about 867.9425239077.

The spelling of 653842129 in words is "six hundred fifty-three million, eight hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 41 401 16441 39769 1630529 15947369 653842129