Search a number
-
+
1029441 = 37247149
BaseRepresentation
bin11111011010101000001
31221022010110
43323111001
5230420231
634021533
711515200
oct3732501
91838113
101029441
11643486
124178a9
132a074a
141cb237
15155046
hexfb541

1029441 has 24 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 571872.

The previous prime is 1029433. The next prime is 1029467. The reversal of 1029441 is 1449201.

It is not a de Polignac number, because 1029441 - 23 = 1029433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

1029441 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029481) 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 23 ways as a sum of consecutive naturals, for example, 6835 + ... + 6983.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

21029441 is an apocalyptic number.

It is an amenable number.

1029441 is a deficient number, since it is larger than the sum of its proper divisors (612159).

1029441 is a wasteful number, since it uses less digits than its factorization.

1029441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1029441 is about 1014.6137195997. The cubic root of 1029441 is about 100.9718903574.

The spelling of 1029441 in words is "one million, twenty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 21 47 49 141 147 149 329 447 987 1043 2303 3129 6909 7003 7301 21009 21903 49021 147063 343147 1029441