Search a number
-
+
123455430 = 232571271543
BaseRepresentation
bin1110101101111…
…00011111000110
322121022012000100
413112330133012
5223101033210
620130024530
73026232240
oct726743706
9277265010
10123455430
116376198a
1235418146
131c766967
1412579090
15ac895c0
hex75bc7c6

123455430 has 96 divisors (see below), whose sum is σ = 369967104. Its totient is φ = 27978048.

The previous prime is 123455429. The next prime is 123455441. The reversal of 123455430 is 34554321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123455394 and 123455403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79239 + ... + 80781.

It is an arithmetic number, because the mean of its divisors is an integer number (3853824).

Almost surely, 2123455430 is an apocalyptic number.

123455430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123455430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184983552).

123455430 is an abundant number, since it is smaller than the sum of its proper divisors (246511674).

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

123455430 is a wasteful number, since it uses less digits than its factorization.

123455430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 123455430 is about 11111.0499053870. The cubic root of 123455430 is about 497.9320321427.

The spelling of 123455430 in words is "one hundred twenty-three million, four hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1543 1778 1905 2286 2667 3086 3810 4445 4629 5334 5715 7715 8001 8890 9258 10801 11430 13335 13887 15430 16002 21602 23145 26670 27774 32403 40005 46290 54005 64806 69435 80010 97209 108010 138870 162015 194418 195961 324030 391922 486045 587883 972090 979805 1175766 1371727 1763649 1959610 2743454 2939415 3527298 4115181 5878830 6858635 8230362 8818245 12345543 13717270 17636490 20575905 24691086 41151810 61727715 123455430