Search a number
-
+
1029339285 = 35132463877
BaseRepresentation
bin111101010110100…
…111100010010101
32122201212212001020
4331112213202111
54102002324120
6250050151353
734336145112
oct7526474225
92581785036
101029339285
11489042927
12248882559
13135340500
149a9c7909
1560579640
hex3d5a7895

1029339285 has 48 divisors (see below), whose sum is σ = 1789265664. Its totient is φ = 505080576.

The previous prime is 1029339281. The next prime is 1029339323. The reversal of 1029339285 is 5829339201.

It is not a de Polignac number, because 1029339285 - 22 = 1029339281 is a prime.

It is a super-2 number, since 2×10293392852 = 2119078727288622450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029339281) 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 47 ways as a sum of consecutive naturals, for example, 1173267 + ... + 1174143.

It is an arithmetic number, because the mean of its divisors is an integer number (37276368).

Almost surely, 21029339285 is an apocalyptic number.

1029339285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1029339285 is a deficient number, since it is larger than the sum of its proper divisors (759926379).

1029339285 is a wasteful number, since it uses less digits than its factorization.

1029339285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1029339285 is about 32083.3178614681. The cubic root of 1029339285 is about 1009.6856470324.

The spelling of 1029339285 in words is "one billion, twenty-nine million, three hundred thirty-nine thousand, two hundred eighty-five".

Divisors: 1 3 5 13 15 39 65 169 195 463 507 845 877 1389 2315 2535 2631 4385 6019 6945 11401 13155 18057 30095 34203 57005 78247 90285 148213 171015 234741 391235 406051 444639 741065 1173705 1218153 2030255 2223195 5278663 6090765 15835989 26393315 68622619 79179945 205867857 343113095 1029339285