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4122180 = 2232522901
BaseRepresentation
bin1111101110011001000100
321202102120100
433232121010
52023402210
6224204100
750016006
oct17563104
97672510
104122180
112366067
121469630
13b1437a
14794376
155665c0
hex3ee644

4122180 has 36 divisors (see below), whose sum is σ = 12504492. Its totient is φ = 1099200.

The previous prime is 4122179. The next prime is 4122187. The reversal of 4122180 is 812214.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 1052676 = 1752^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4122187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11271 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (347347).

Almost surely, 24122180 is an apocalyptic number.

It is an amenable number.

4122180 is an abundant number, since it is smaller than the sum of its proper divisors (8382312).

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

4122180 is a wasteful number, since it uses less digits than its factorization.

4122180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4122180 is about 2030.3152464580. The cubic root of 4122180 is about 160.3401617167.

Adding to 4122180 its reverse (812214), we get a palindrome (4934394).

The spelling of 4122180 in words is "four million, one hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22901 45802 68703 91604 114505 137406 206109 229010 274812 343515 412218 458020 687030 824436 1030545 1374060 2061090 4122180