Search a number
-
+
17042004 = 2232729661
BaseRepresentation
bin100000100000…
…0101001010100
31012001211020100
41001000221110
513330321004
61405134100
7264566100
oct101005124
935054210
1017042004
11968aa01
12585a330
1336b8c35
142398900
151769739
hex1040a54

17042004 has 54 divisors (see below), whose sum is σ = 50116794. Its totient is φ = 4868640.

The previous prime is 17041967. The next prime is 17042009. The reversal of 17042004 is 40024071.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 8398404 = 2940^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17042009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3067 + ... + 6594.

Almost surely, 217042004 is an apocalyptic number.

17042004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

17042004 is an abundant number, since it is smaller than the sum of its proper divisors (33074790).

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

17042004 is a wasteful number, since it uses less digits than its factorization.

17042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 17042004 is about 4128.1962162669. The cubic root of 17042004 is about 257.3397576556.

Adding to 17042004 its reverse (40024071), we get a palindrome (57066075).

The spelling of 17042004 in words is "seventeen million, forty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 9661 19322 28983 38644 57966 67627 86949 115932 135254 173898 202881 270508 347796 405762 473389 608643 811524 946778 1217286 1420167 1893556 2434572 2840334 4260501 5680668 8521002 17042004