Search a number
-
+
122705748 = 2232111631901
BaseRepresentation
bin1110101000001…
…01011101010100
322112220002122100
413110011131110
5222403040443
620102002100
73016660464
oct724053524
9275802570
10122705748
116329a710
1235116330
131c563669
1412421ba4
15ab8c3d3
hex7505754

122705748 has 72 divisors (see below), whose sum is σ = 340625376. Its totient is φ = 36936000.

The previous prime is 122705747. The next prime is 122705761. The reversal of 122705748 is 847507221.

122705748 is a `hidden beast` number, since 12 + 2 + 70 + 574 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122705741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63598 + ... + 65498.

It is an arithmetic number, because the mean of its divisors is an integer number (4730908).

Almost surely, 2122705748 is an apocalyptic number.

122705748 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 122705748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170312688).

122705748 is an abundant number, since it is smaller than the sum of its proper divisors (217919628).

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

122705748 is a wasteful number, since it uses less digits than its factorization.

122705748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 122705748 is about 11077.2626582563. The cubic root of 122705748 is about 496.9220891411.

The spelling of 122705748 in words is "one hundred twenty-two million, seven hundred five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 198 326 396 489 652 978 1467 1793 1901 1956 2934 3586 3802 5379 5703 5868 7172 7604 10758 11406 16137 17109 20911 21516 22812 32274 34218 41822 62733 64548 68436 83644 125466 188199 250932 309863 376398 619726 752796 929589 1239452 1859178 2788767 3408493 3718356 5577534 6816986 10225479 11155068 13633972 20450958 30676437 40901916 61352874 122705748