Search a number
-
+
171680112 = 24322574639
BaseRepresentation
bin10100011101110…
…10000101110000
3102222001020211200
422032322011300
5322422230422
625011411200
74153154052
oct1216720560
9388036750
10171680112
11889aa89a
12495b3b00
132974cc86
1418b2d8d2
15101132ac
hexa3ba170

171680112 has 60 divisors (see below), whose sum is σ = 482439360. Its totient is φ = 56991744.

The previous prime is 171680107. The next prime is 171680137. The reversal of 171680112 is 211086171.

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, 34689 + ... + 39327.

It is an arithmetic number, because the mean of its divisors is an integer number (8040656).

Almost surely, 2171680112 is an apocalyptic number.

171680112 is a gapful number since it is divisible by the number (12) 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 171680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241219680).

171680112 is an abundant number, since it is smaller than the sum of its proper divisors (310759248).

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

171680112 is a wasteful number, since it uses less digits than its factorization.

171680112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 171680112 is about 13102.6757572642. The cubic root of 171680112 is about 555.7847967246.

The spelling of 171680112 in words is "one hundred seventy-one million, six hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 3084 4112 4626 4639 6168 9252 9278 12336 13917 18504 18556 27834 37008 37112 41751 55668 74224 83502 111336 167004 222672 334008 668016 1192223 2384446 3576669 4768892 7153338 9537784 10730007 14306676 19075568 21460014 28613352 42920028 57226704 85840056 171680112