Search a number
-
+
172361730 = 23519714259
BaseRepresentation
bin10100100011000…
…00100000000010
3110000022212211210
422101200200002
5323111033410
625034150550
74162023222
oct1221404002
9400285753
10172361730
1189325a12
1249882456
132992b2b8
1418c6a082
15101ea220
hexa460802

172361730 has 64 divisors (see below), whose sum is σ = 441676800. Its totient is φ = 42920640.

The previous prime is 172361729. The next prime is 172361731. The reversal of 172361730 is 37163271.

172361730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172361729) and next prime (172361731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172361731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38341 + ... + 42599.

It is an arithmetic number, because the mean of its divisors is an integer number (6901200).

Almost surely, 2172361730 is an apocalyptic number.

172361730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172361730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220838400).

172361730 is an abundant number, since it is smaller than the sum of its proper divisors (269315070).

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

172361730 is a wasteful number, since it uses less digits than its factorization.

172361730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 172361730 is about 13128.6606323722. The cubic root of 172361730 is about 556.5193657293.

The spelling of 172361730 in words is "one hundred seventy-two million, three hundred sixty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 114 142 190 213 285 355 426 570 710 1065 1349 2130 2698 4047 4259 6745 8094 8518 12777 13490 20235 21295 25554 40470 42590 63885 80921 127770 161842 242763 302389 404605 485526 604778 809210 907167 1213815 1511945 1814334 2427630 3023890 4535835 5745391 9071670 11490782 17236173 28726955 34472346 57453910 86180865 172361730