Search a number
-
+
123340014 = 23277912391
BaseRepresentation
bin1110101101000…
…00010011101110
322121002022200200
413112200103232
5223033340024
620123334330
73025241610
oct726402356
9277068620
10123340014
11636931a6
12353813a6
131c726275
1412548db0
15ac652c9
hex75a04ee

123340014 has 48 divisors (see below), whose sum is σ = 309304320. Its totient is φ = 34791120.

The previous prime is 123340003. The next prime is 123340043. The reversal of 123340014 is 410043321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3759 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (6443840).

Almost surely, 2123340014 is an apocalyptic number.

123340014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123340014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154652160).

123340014 is an abundant number, since it is smaller than the sum of its proper divisors (185964306).

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

123340014 is a wasteful number, since it uses less digits than its factorization.

123340014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123340014 is about 11105.8549423266. The cubic root of 123340014 is about 497.7768148801.

Adding to 123340014 its reverse (410043321), we get a palindrome (533383335).

The spelling of 123340014 in words is "one hundred twenty-three million, three hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 12391 24782 37173 74346 86737 111519 173474 223038 260211 520422 780633 978889 1561266 1957778 2936667 5873334 6852223 8810001 13704446 17620002 20556669 41113338 61670007 123340014