Search a number
-
+
166741300 = 225211295227
BaseRepresentation
bin10011111000001…
…00010100110100
3102121202100001201
421330010110310
5320141210200
624313502244
74063164145
oct1174042464
9377670051
10166741300
1186137230
1247a11984
1328710cbb
1418205acc
15e989c6a
hex9f04534

166741300 has 72 divisors (see below), whose sum is σ = 408411360. Its totient is φ = 58531200.

The previous prime is 166741279. The next prime is 166741303. The reversal of 166741300 is 3147661.

It is a super-2 number, since 2×1667413002 = 55605322251380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166741303) 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, 29287 + ... + 34513.

It is an arithmetic number, because the mean of its divisors is an integer number (5672380).

Almost surely, 2166741300 is an apocalyptic number.

166741300 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 166741300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204205680).

166741300 is an abundant number, since it is smaller than the sum of its proper divisors (241670060).

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

166741300 is a wasteful number, since it uses less digits than its factorization.

166741300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 166741300 is about 12912.8347004056. The cubic root of 166741300 is about 550.4033405030.

Adding to 166741300 its reverse (3147661), we get a palindrome (169888961).

The spelling of 166741300 in words is "one hundred sixty-six million, seven hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 5227 6380 7975 10454 15950 20908 26135 31900 52270 57497 104540 114994 130675 151583 229988 261350 287485 303166 522700 574970 606332 757915 1149940 1437425 1515830 1667413 2874850 3031660 3334826 3789575 5749700 6669652 7579150 8337065 15158300 16674130 33348260 41685325 83370650 166741300