Search a number
-
+
123004024 = 231113195659
BaseRepresentation
bin1110101010011…
…10010001111000
322120110020210121
413111032101320
5222442112044
620112223024
73022342213
oct725162170
9276406717
10123004024
1163483820
123523aa74
131c639360
141249c77a
15abea984
hex754e478

123004024 has 64 divisors (see below), whose sum is σ = 285264000. Its totient is φ = 48885120.

The previous prime is 123004009. The next prime is 123004031. The reversal of 123004024 is 420400321.

It is a junction number, because it is equal to n+sod(n) for n = 123003989 and 123004007.

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, 18907 + ... + 24565.

It is an arithmetic number, because the mean of its divisors is an integer number (4457250).

Almost surely, 2123004024 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 123004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142632000).

123004024 is an abundant number, since it is smaller than the sum of its proper divisors (162259976).

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

123004024 is a wasteful number, since it uses less digits than its factorization.

123004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 123004024 is about 11090.7179208562. The cubic root of 123004024 is about 497.3244066054.

Adding to 123004024 its reverse (420400321), we get a palindrome (543404345).

The spelling of 123004024 in words is "one hundred twenty-three million, four thousand, twenty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1672 1976 2717 5434 5659 10868 11318 21736 22636 45272 62249 73567 107521 124498 147134 215042 248996 294268 430084 497992 588536 809237 860168 1182731 1397773 1618474 2365462 2795546 3236948 4730924 5591092 6473896 9461848 11182184 15375503 30751006 61502012 123004024