Search a number
-
+
17120004 = 22311235639
BaseRepresentation
bin100000101001…
…1101100000100
31012012210020020
41001103230010
513340320004
61410535140
7265342356
oct101235404
935183206
1017120004
119733570
1258974b0
1337155a5
1423b90d6
1517828d9
hex1053b04

17120004 has 48 divisors (see below), whose sum is σ = 45480960. Its totient is φ = 4961440.

The previous prime is 17119979. The next prime is 17120009. The reversal of 17120004 is 40002171.

It is a super-3 number, since 3×171200043 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (17120009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 5855.

It is an arithmetic number, because the mean of its divisors is an integer number (947520).

Almost surely, 217120004 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 17120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740480).

17120004 is an abundant number, since it is smaller than the sum of its proper divisors (28360956).

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

17120004 is a wasteful number, since it uses less digits than its factorization.

17120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 17120004 is about 4137.6326564837. The cubic root of 17120004 is about 257.7317685810.

Adding to 17120004 its reverse (40002171), we get a palindrome (57122175).

It can be divided in two parts, 17 and 120004, that added together give a palindrome (120021).

The spelling of 17120004 in words is "seventeen million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 5639 11278 16917 22556 33834 62029 67668 124058 129697 186087 248116 259394 372174 389091 518788 744348 778182 1426667 1556364 2853334 4280001 5706668 8560002 17120004