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123381060 = 223511199839
BaseRepresentation
bin1110101101010…
…10010101000100
322121011101222220
413112222111010
5223041143220
620124252340
73025502355
oct726522504
9277141886
10123381060
1163711020
12353a10b0
131c73bb5a
1412559d2c
15ac72540
hex75aa544

123381060 has 96 divisors (see below), whose sum is σ = 396748800. Its totient is φ = 28333440.

The previous prime is 123381059. The next prime is 123381067. The reversal of 123381060 is 60183321.

It is a self number, because there is not a number n which added to its sum of digits gives 123381060.

It is not an unprimeable number, because it can be changed into a prime (123381067) 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 31 ways as a sum of consecutive naturals, for example, 7621 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2123381060 is an apocalyptic number.

123381060 is a gapful number since it is divisible by the number (10) 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 123381060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

123381060 is an abundant number, since it is smaller than the sum of its proper divisors (273367740).

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

123381060 is a wasteful number, since it uses less digits than its factorization.

123381060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 123381060 is about 11107.7027327886. The cubic root of 123381060 is about 497.8320267032.

It can be divided in two parts, 123 and 381060, that added together give a palindrome (381183).

The spelling of 123381060 in words is "one hundred twenty-three million, three hundred eighty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 9839 12540 19678 29517 39356 49195 59034 98390 108229 118068 147585 186941 196780 216458 295170 324687 373882 432916 541145 560823 590340 649374 747764 934705 1082290 1121646 1298748 1623435 1869410 2056351 2164580 2243292 2804115 3246870 3738820 4112702 5608230 6169053 6493740 8225404 10281755 11216460 12338106 20563510 24676212 30845265 41127020 61690530 123381060