Search a number
-
+
20123124 = 223734889
BaseRepresentation
bin100110011000…
…0110111110100
31101212100201220
41030300313310
520122414444
61555150340
7333021000
oct114606764
941770656
1020123124
11103a488a
1268a53b0
134227498
14295b700
151b77619
hex1330df4

20123124 has 48 divisors (see below), whose sum is σ = 54768000. Its totient is φ = 5748288.

The previous prime is 20123119. The next prime is 20123141. The reversal of 20123124 is 42132102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 6560.

It is an arithmetic number, because the mean of its divisors is an integer number (1141000).

Almost surely, 220123124 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 20123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27384000).

20123124 is an abundant number, since it is smaller than the sum of its proper divisors (34644876).

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

20123124 is a wasteful number, since it uses less digits than its factorization.

20123124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4901 counting only the distinct ones).

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

The square root of 20123124 is about 4485.8805155733. The cubic root of 20123124 is about 271.9976391087.

Adding to 20123124 its reverse (42132102), we get a palindrome (62255226).

The spelling of 20123124 in words is "twenty million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 4889 9778 14667 19556 29334 34223 58668 68446 102669 136892 205338 239561 410676 479122 718683 958244 1437366 1676927 2874732 3353854 5030781 6707708 10061562 20123124