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123140493 = 36759409
BaseRepresentation
bin1110101011011…
…11100110001101
322120201012000000
413111233212031
5223010443433
620115154513
73023451120
oct725574615
9276635000
10123140493
1163567303
12352a5a39
131c6864c8
14124d63b7
15ac26113
hex756f98d

123140493 has 56 divisors (see below), whose sum is σ = 215102400. Its totient is φ = 69004224.

The previous prime is 123140491. The next prime is 123140497. The reversal of 123140493 is 394041321.

It is not a de Polignac number, because 123140493 - 21 = 123140491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123140491) 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 55 ways as a sum of consecutive naturals, for example, 300873 + ... + 301281.

Almost surely, 2123140493 is an apocalyptic number.

It is an amenable number.

123140493 is a deficient number, since it is larger than the sum of its proper divisors (91961907).

123140493 is an frugal number, since it uses more digits than its factorization.

123140493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123140493 is about 11096.8686123609. The cubic root of 123140493 is about 497.5082604287.

The spelling of 123140493 in words is "one hundred twenty-three million, one hundred forty thousand, four hundred ninety-three".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 243 409 413 531 567 729 1227 1239 1593 1701 2863 3681 3717 4779 5103 8589 11043 11151 14337 24131 25767 33129 33453 43011 72393 77301 99387 100359 168917 217179 231903 298161 301077 506751 651537 695709 1520253 1954611 2087127 4560759 5863833 13682277 17591499 41046831 123140493