Search a number
-
+
17140704 = 2537231109
BaseRepresentation
bin100000101100…
…0101111100000
31012020211121220
41001120233200
513342000304
61411215040
7265456620
oct101305740
935224556
1017140704
119748079
1258a7480
133721b39
1423c2880
151788ad9
hex1058be0

17140704 has 96 divisors (see below), whose sum is σ = 53706240. Its totient is φ = 4680192.

The previous prime is 17140691. The next prime is 17140741. The reversal of 17140704 is 40704171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14902 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 217140704 is an apocalyptic number.

17140704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853120).

17140704 is an abundant number, since it is smaller than the sum of its proper divisors (36565536).

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

17140704 is a wasteful number, since it uses less digits than its factorization.

17140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 17140704 is about 4140.1333311863. The cubic root of 17140704 is about 257.8356022567.

Adding to 17140704 its reverse (40704171), we get a palindrome (57844875).

The spelling of 17140704 in words is "seventeen million, one hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1109 1288 1932 2208 2218 2576 3327 3864 4436 5152 6654 7728 7763 8872 13308 15456 15526 17744 23289 25507 26616 31052 35488 46578 51014 53232 62104 76521 93156 102028 106464 124208 153042 178549 186312 204056 248416 306084 357098 372624 408112 535647 612168 714196 745248 816224 1071294 1224336 1428392 2142588 2448672 2856784 4285176 5713568 8570352 17140704