Search a number
-
+
146424641 = 11473137
BaseRepresentation
bin10001011101001…
…00001101000001
3101012112010211212
420232210031001
5244441042031
622310215505
73425405666
oct1056441501
9335463755
10146424641
1175720000
1241054595
13244496cc
1415637a6d
15ccc512b
hex8ba4341

146424641 has 20 divisors (see below), whose sum is σ = 164464260. Its totient is φ = 130331520.

The previous prime is 146424623. The next prime is 146424643.

146424641 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 84566416 + 61858225 = 9196^2 + 7865^2 .

It is not a de Polignac number, because 146424641 - 226 = 79315777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146424598 and 146424607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146424643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1068725 + ... + 1068861.

It is an arithmetic number, because the mean of its divisors is an integer number (8223213).

Almost surely, 2146424641 is an apocalyptic number.

146424641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146424641 is a deficient number, since it is larger than the sum of its proper divisors (18039619).

146424641 is an frugal number, since it uses more digits than its factorization.

146424641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 146424641 is about 12100.6049848758. The cubic root of 146424641 is about 527.0737522308.

The spelling of 146424641 in words is "one hundred forty-six million, four hundred twenty-four thousand, six hundred forty-one".

Divisors: 1 11 73 121 137 803 1331 1507 8833 10001 14641 16577 97163 110011 182347 1068793 1210121 2005817 13311331 146424641