Search a number
-
+
41422160 = 2451339829
BaseRepresentation
bin1001111000000…
…0110101010000
32212221110112002
42132000311100
541101002120
64035453132
71012040213
oct236006520
985843462
1041422160
112142209a
1211a571a8
138773c70
14570377a
153983375
hex2780d50

41422160 has 40 divisors (see below), whose sum is σ = 103717320. Its totient is φ = 15293952.

The previous prime is 41422159. The next prime is 41422163. The reversal of 41422160 is 6122414.

It can be written as a sum of positive squares in 4 ways, for example, as 6091024 + 35331136 = 2468^2 + 5944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41422163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18875 + ... + 20954.

It is an arithmetic number, because the mean of its divisors is an integer number (2592933).

Almost surely, 241422160 is an apocalyptic number.

41422160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41422160 is an abundant number, since it is smaller than the sum of its proper divisors (62295160).

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

41422160 is a wasteful number, since it uses less digits than its factorization.

41422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39855 (or 39849 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 41422160 is about 6436.0049720304. The cubic root of 41422160 is about 346.0011805678.

Adding to 41422160 its reverse (6122414), we get a palindrome (47544574).

The spelling of 41422160 in words is "forty-one million, four hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 39829 79658 159316 199145 318632 398290 517777 637264 796580 1035554 1593160 2071108 2588885 3186320 4142216 5177770 8284432 10355540 20711080 41422160