Search a number
-
+
171365940 = 223251989563
BaseRepresentation
bin10100011011011…
…01011000110100
3102221110021212200
422031231120310
5322332202230
625000544500
74150405104
oct1215553064
9387407780
10171365940
1188805849
1249482130
132966cc85
1418a8b204
15100a0160
hexa36d634

171365940 has 144 divisors (see below), whose sum is σ = 554299200. Its totient is φ = 42729984.

The previous prime is 171365917. The next prime is 171366043. The reversal of 171365940 is 49563171.

171365940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 171365895 and 171365904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304099 + ... + 304661.

It is an arithmetic number, because the mean of its divisors is an integer number (3849300).

Almost surely, 2171365940 is an apocalyptic number.

171365940 is a gapful number since it is divisible by the number (10) 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 171365940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277149600).

171365940 is an abundant number, since it is smaller than the sum of its proper divisors (382933260).

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

171365940 is a wasteful number, since it uses less digits than its factorization.

171365940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 171365940 is about 13090.6814184747. The cubic root of 171365940 is about 555.4455637951.

The spelling of 171365940 in words is "one hundred seventy-one million, three hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 563 570 684 801 855 890 1068 1126 1140 1335 1602 1689 1691 1710 1780 2252 2670 2815 3204 3378 3382 3420 4005 5067 5073 5340 5630 6756 6764 8010 8445 8455 10134 10146 10697 11260 15219 16020 16890 16910 20268 20292 21394 25335 25365 30438 32091 33780 33820 42788 50107 50670 50730 53485 60876 64182 76095 96273 100214 101340 101460 106970 128364 150321 152190 160455 192546 200428 213940 250535 300642 304380 320910 385092 450963 481365 501070 601284 641820 751605 901926 952033 962730 1002140 1503210 1803852 1904066 1925460 2254815 2856099 3006420 3808132 4509630 4760165 5712198 8568297 9019260 9520330 11424396 14280495 17136594 19040660 28560990 34273188 42841485 57121980 85682970 171365940