Search a number
-
+
169680672 = 25327174951
BaseRepresentation
bin10100001110100…
…01111100100000
3102211021200010100
422013101330200
5321414240142
624500502400
74130155560
oct1207217440
9384250110
10169680672
1187864667
12489aaa00
13291ccb85
141876cda0
15ed6ab4c
hexa1d1f20

169680672 has 144 divisors (see below), whose sum is σ = 584019072. Its totient is φ = 45619200.

The previous prime is 169680671. The next prime is 169680677. The reversal of 169680672 is 276086961.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (169680671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31797 + ... + 36747.

It is an arithmetic number, because the mean of its divisors is an integer number (4055688).

Almost surely, 2169680672 is an apocalyptic number.

169680672 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 169680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292009536).

169680672 is an abundant number, since it is smaller than the sum of its proper divisors (414338400).

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

169680672 is a wasteful number, since it uses less digits than its factorization.

169680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 169680672 is about 13026.1533846335. The cubic root of 169680672 is about 553.6187518011.

The spelling of 169680672 in words is "one hundred sixty-nine million, six hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 4951 5712 8568 9902 11424 14853 17136 19804 29706 34272 34657 39608 44559 59412 69314 79216 84167 89118 103971 118824 138628 158432 168334 178236 207942 237648 252501 277256 311913 336668 356472 415884 475296 505002 554512 589169 623826 673336 712944 757503 831768 1010004 1109024 1178338 1247652 1346672 1425888 1515006 1663536 1767507 2020008 2356676 2495304 2693344 3030012 3327072 3535014 4040016 4713352 4990608 5302521 6060024 7070028 8080032 9426704 9981216 10605042 12120048 14140056 18853408 21210084 24240096 28280112 42420168 56560224 84840336 169680672