Search a number
-
+
123434136 = 23327259593
BaseRepresentation
bin1110101101101…
…11010010011000
322121021002210200
413112313102120
5223044343021
620125342200
73026113200
oct726672230
9277232720
10123434136
1163747991
1235407960
131c75a067
1412571400
15ac83126
hex75b7498

123434136 has 144 divisors (see below), whose sum is σ = 396138600. Its totient is φ = 34610688.

The previous prime is 123434119. The next prime is 123434153. The reversal of 123434136 is 631434321.

It is an interprime number because it is at equal distance from previous prime (123434119) and next prime (123434153).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207856 + ... + 208448.

Almost surely, 2123434136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123434136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198069300).

123434136 is an abundant number, since it is smaller than the sum of its proper divisors (272704464).

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

123434136 is a wasteful number, since it uses less digits than its factorization.

123434136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 123434136 is about 11110.0916287851. The cubic root of 123434136 is about 497.9034021765.

Adding to 123434136 its reverse (631434321), we get a palindrome (754868457).

The spelling of 123434136 in words is "one hundred twenty-three million, four hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 59 63 72 84 98 118 126 147 168 177 196 236 252 294 354 392 413 441 472 504 531 588 593 708 826 882 1062 1176 1186 1239 1416 1652 1764 1779 2124 2372 2478 2891 3304 3528 3558 3717 4151 4248 4744 4956 5337 5782 7116 7434 8302 8673 9912 10674 11564 12453 14232 14868 16604 17346 21348 23128 24906 26019 29057 29736 33208 34692 34987 37359 42696 49812 52038 58114 69384 69974 74718 87171 99624 104076 104961 116228 139948 149436 174342 208152 209922 232456 244909 261513 279896 298872 314883 348684 419844 489818 523026 629766 697368 734727 839688 979636 1046052 1259532 1469454 1714363 1959272 2092104 2204181 2519064 2938908 3428726 4408362 5143089 5877816 6857452 8816724 10286178 13714904 15429267 17633448 20572356 30858534 41144712 61717068 123434136