Search a number
-
+
9917172 = 2232833319
BaseRepresentation
bin100101110101…
…001011110100
3200122211210200
4211311023310
510014322142
6552320500
7150203016
oct45651364
920584720
109917172
115663a11
1233a3130
132092c65
1414621b6
15d0d64c
hex9752f4

9917172 has 36 divisors (see below), whose sum is σ = 25378080. Its totient is φ = 3264912.

The previous prime is 9917153. The next prime is 9917191. The reversal of 9917172 is 2717199.

It is an interprime number because it is at equal distance from previous prime (9917153) and next prime (9917191).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 4647.

Almost surely, 29917172 is an apocalyptic number.

9917172 is the 1992-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689040).

9917172 is an abundant number, since it is smaller than the sum of its proper divisors (15460908).

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

9917172 is a wasteful number, since it uses less digits than its factorization.

9917172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3407 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 9917172 is about 3149.1541721548. The cubic root of 9917172 is about 214.8469940769.

It can be divided in two parts, 99 and 17172, that added together give a palindrome (17271).

The spelling of 9917172 in words is "nine million, nine hundred seventeen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3319 6638 9957 13276 19914 29871 39828 59742 119484 275477 550954 826431 1101908 1652862 2479293 3305724 4958586 9917172