Search a number
-
+
123107040 = 2534572359
BaseRepresentation
bin1110101011001…
…11011011100000
322120122111010000
413111213123200
5223003411130
620114340000
73023251440
oct725473340
9276574100
10123107040
1163544161
123528a600
131c674204
14124c8120
15ac1b260
hex75676e0

123107040 has 480 divisors, whose sum is σ = 526901760. Its totient is φ = 26459136.

The previous prime is 123107027. The next prime is 123107041. The reversal of 123107040 is 40701321.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123107041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086531 + ... + 2086589.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2123107040 is an apocalyptic number.

123107040 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 123107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

123107040 is an abundant number, since it is smaller than the sum of its proper divisors (403794720).

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

123107040 is a wasteful number, since it uses less digits than its factorization.

123107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 123107040 is about 11095.3611928589. The cubic root of 123107040 is about 497.4632044367.

Adding to 123107040 its reverse (40701321), we get a palindrome (163808361).

The spelling of 123107040 in words is "one hundred twenty-three million, one hundred seven thousand, forty".