Search a number
-
+
1084869225 = 3252114110691
BaseRepresentation
bin100000010101001…
…1100101001101001
32210121101001210200
41000222130221221
54210211303400
6255352302413
735612144016
oct10052345151
92717331720
101084869225
11507420340
122633a1a09
131439b396b
14a412070d
1565397b00
hex40a9ca69

1084869225 has 72 divisors (see below), whose sum is σ = 2171673504. Its totient is φ = 513120000.

The previous prime is 1084869209. The next prime is 1084869251. The reversal of 1084869225 is 5229684801.

It is not a de Polignac number, because 1084869225 - 24 = 1084869209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96130 + ... + 106820.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 21084869225 is an apocalyptic number.

1084869225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1084869225 is an abundant number, since it is smaller than the sum of its proper divisors (1086804279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1084869225 is a wasteful number, since it uses less digits than its factorization.

1084869225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1084869225 is about 32937.3530357253. The cubic root of 1084869225 is about 1027.5251561142.

It can be divided in two parts, 108486 and 9225, that added together give a palindrome (117711).

The spelling of 1084869225 in words is "one billion, eighty-four million, eight hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 205 225 275 369 451 495 615 825 1025 1353 1845 2255 2475 3075 4059 6765 9225 10691 11275 20295 32073 33825 53455 96219 101475 117601 160365 267275 352803 438331 481095 588005 801825 1058409 1314993 1764015 2191655 2405475 2940025 3944979 4821641 5292045 6574965 8820075 10958275 14464923 19724895 24108205 26460225 32874825 43394769 72324615 98624475 120541025 216973845 361623075 1084869225