Search a number
-
+
123042240 = 2634547101
BaseRepresentation
bin1110101010101…
…11100111000000
322120112012020000
413111113213000
5222444322430
620113120000
73022561506
oct725274700
9276465200
10123042240
11634aa502
1235259000
131c650879
14124ac676
15ac06e60
hex75579c0

123042240 has 280 divisors, whose sum is σ = 451420992. Its totient is φ = 31795200.

The previous prime is 123042239. The next prime is 123042251. The reversal of 123042240 is 42240321.

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 39 ways as a sum of consecutive naturals, for example, 1218190 + ... + 1218290.

Almost surely, 2123042240 is an apocalyptic number.

123042240 is a gapful number since it is divisible by the number (10) 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 123042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225710496).

123042240 is an abundant number, since it is smaller than the sum of its proper divisors (328378752).

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

123042240 is a wasteful number, since it uses less digits than its factorization.

123042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 123042240 is about 11092.4406692125. The cubic root of 123042240 is about 497.3759056836.

Adding to 123042240 its reverse (42240321), we get a palindrome (165282561).

The spelling of 123042240 in words is "one hundred twenty-three million, forty-two thousand, two hundred forty".