Search a number
-
+
69006084 = 22371316271
BaseRepresentation
bin1000001110011…
…11001100000100
311210211212112220
410013033030010
5120131143314
610503012340
71465353630
oct407171404
9153755486
1069006084
1135a52324
121b13a0b0
13113b1304
149243dc0
1560d13a9
hex41cf304

69006084 has 48 divisors (see below), whose sum is σ = 185450496. Its totient is φ = 19562400.

The previous prime is 69006083. The next prime is 69006089. The reversal of 69006084 is 48060096.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (69006083) 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 15 ways as a sum of consecutive naturals, for example, 7869 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (3863552).

Almost surely, 269006084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69006084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92725248).

69006084 is an abundant number, since it is smaller than the sum of its proper divisors (116444412).

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

69006084 is a wasteful number, since it uses less digits than its factorization.

69006084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 69006084 is about 8306.9900686109. The cubic root of 69006084 is about 410.1686476532.

The spelling of 69006084 in words is "sixty-nine million, six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 6271 11004 12542 18813 25084 37626 43897 75252 87794 131691 175588 263382 526764 821501 1643002 2464503 3286004 4929006 5750507 9858012 11501014 17251521 23002028 34503042 69006084