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123140430 = 2325733989
BaseRepresentation
bin1110101011011…
…11100101001110
322120201011220200
413111233211032
5223010443210
620115154330
73023451000
oct725574516
9276634820
10123140430
1163567256
12352a59a6
131c68647a
14124d6370
15ac260c0
hex756f94e

123140430 has 96 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 28139328.

The previous prime is 123140429. The next prime is 123140431. The reversal of 123140430 is 34041321.

123140430 is a `hidden beast` number, since 1 + 231 + 4 + 0 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (123140429) and next prime (123140431).

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 (123140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28876 + ... + 32864.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2123140430 is an apocalyptic number.

123140430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

123140430 is an abundant number, since it is smaller than the sum of its proper divisors (250323570).

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

123140430 is a wasteful number, since it uses less digits than its factorization.

123140430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4006 counting only the distinct ones).

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

The square root of 123140430 is about 11096.8657737219. The cubic root of 123140430 is about 497.5081755851.

Adding to 123140430 its reverse (34041321), we get a palindrome (157181751).

The spelling of 123140430 in words is "one hundred twenty-three million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 3989 4410 5145 6174 7978 10290 11967 15435 19945 23934 27923 30870 35901 39890 55846 59835 71802 83769 119670 139615 167538 179505 195461 251307 279230 359010 390922 418845 502614 586383 837690 977305 1172766 1256535 1368227 1759149 1954610 2513070 2736454 2931915 3518298 4104681 5863830 6841135 8209362 8795745 12314043 13682270 17591490 20523405 24628086 41046810 61570215 123140430