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4122132 = 2237311583
BaseRepresentation
bin1111101110011000010100
321202102111120
433232120110
52023402012
6224203540
750015610
oct17563024
97672446
104122132
112366023
1214695b0
13b14341
14794340
1556658c
hex3ee614

4122132 has 48 divisors (see below), whose sum is σ = 11354112. Its totient is φ = 1139040.

The previous prime is 4122121. The next prime is 4122169. The reversal of 4122132 is 2312214.

4122132 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

4122132 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 3395.

It is an arithmetic number, because the mean of its divisors is an integer number (236544).

Almost surely, 24122132 is an apocalyptic number.

4122132 is a gapful number since it is divisible by the number (42) 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 4122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677056).

4122132 is an abundant number, since it is smaller than the sum of its proper divisors (7231980).

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

4122132 is a wasteful number, since it uses less digits than its factorization.

4122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 4122132 is about 2030.3034255992. The cubic root of 4122132 is about 160.3395393634.

Adding to 4122132 its reverse (2312214), we get a palindrome (6434346).

The spelling of 4122132 in words is "four million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1583 2604 3166 4749 6332 9498 11081 18996 22162 33243 44324 49073 66486 98146 132972 147219 196292 294438 343511 588876 687022 1030533 1374044 2061066 4122132