Search a number
-
+
123105708 = 2232112931061
BaseRepresentation
bin1110101011001…
…11000110101100
322120122102021200
413111213012230
5223003340313
620114325500
73023244525
oct725470654
9276572250
10123105708
1163543160
1235289890
131c67371b
14124c784c
15ac1ab73
hex75671ac

123105708 has 72 divisors (see below), whose sum is σ = 340952976. Its totient is φ = 37142400.

The previous prime is 123105679. The next prime is 123105727. The reversal of 123105708 is 807501321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115498 + ... + 116558.

It is an arithmetic number, because the mean of its divisors is an integer number (4735458).

Almost surely, 2123105708 is an apocalyptic number.

123105708 is a gapful number since it is divisible by the number (18) 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 123105708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170476488).

123105708 is an abundant number, since it is smaller than the sum of its proper divisors (217847268).

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

123105708 is a wasteful number, since it uses less digits than its factorization.

123105708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 123105708 is about 11095.3011676114. The cubic root of 123105708 is about 497.4614102708.

The spelling of 123105708 in words is "one hundred twenty-three million, one hundred five thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1061 1172 1758 2122 2637 3183 3223 3516 4244 5274 6366 6446 9549 9669 10548 11671 12732 12892 19098 19338 23342 29007 35013 38196 38676 46684 58014 70026 105039 116028 140052 210078 310873 420156 621746 932619 1243492 1865238 2797857 3419603 3730476 5595714 6839206 10258809 11191428 13678412 20517618 30776427 41035236 61552854 123105708