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4121124 = 223771691
BaseRepresentation
bin1111101110001000100100
321202101010020
433232020210
52023333444
6224155140
750012640
oct17561044
97671106
104121124
112365297
121468ab0
13b13a47
14793c20
15566119
hex3ee224

4121124 has 48 divisors (see below), whose sum is σ = 11160576. Its totient is φ = 1159200.

The previous prime is 4121113. The next prime is 4121137. The reversal of 4121124 is 4211214.

4121124 is digitally balanced in base 2, 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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5619 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (232512).

Almost surely, 24121124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580288).

4121124 is an abundant number, since it is smaller than the sum of its proper divisors (7039452).

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

4121124 is a wasteful number, since it uses less digits than its factorization.

4121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 774 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4121124 is about 2030.0551716641. The cubic root of 4121124 is about 160.3264688268.

Adding to 4121124 its reverse (4211214), we get a palindrome (8332338).

The spelling of 4121124 in words is "four million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 691 852 994 1382 1491 1988 2073 2764 2982 4146 4837 5964 8292 9674 14511 19348 29022 49061 58044 98122 147183 196244 294366 343427 588732 686854 1030281 1373708 2060562 4121124