Search a number
-
+
166415380 = 22517489457
BaseRepresentation
bin10011110101101…
…00110000010100
3102121010202222121
421322310300110
5320100243010
624302505324
74060336015
oct1172646024
9377122877
10166415380
1185a3437a
1247895244
1328628851
141815d00c
15e9233da
hex9eb4c14

166415380 has 24 divisors (see below), whose sum is σ = 370030248. Its totient is φ = 62650368.

The previous prime is 166415371. The next prime is 166415383. The reversal of 166415380 is 83514661.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79067664 + 87347716 = 8892^2 + 9346^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166415383) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 244389 + ... + 245068.

It is an arithmetic number, because the mean of its divisors is an integer number (15417927).

Almost surely, 2166415380 is an apocalyptic number.

166415380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166415380 is an abundant number, since it is smaller than the sum of its proper divisors (203614868).

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

166415380 is a wasteful number, since it uses less digits than its factorization.

166415380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489483 (or 489481 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 166415380 is about 12900.2085254464. The cubic root of 166415380 is about 550.0444922685.

The spelling of 166415380 in words is "one hundred sixty-six million, four hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 489457 978914 1957828 2447285 4894570 8320769 9789140 16641538 33283076 41603845 83207690 166415380