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123385430 = 25721929457
BaseRepresentation
bin1110101101010…
…11011001010110
322121011121222202
413112223121112
5223041313210
620124324502
73025521200
oct726533126
9277147882
10123385430
1163714333
12353a3732
131c740b3c
141255b770
15ac739a5
hex75ab656

123385430 has 96 divisors (see below), whose sum is σ = 281944800. Its totient is φ = 38610432.

The previous prime is 123385421. The next prime is 123385469. The reversal of 123385430 is 34583321.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 123385393 and 123385402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269762 + ... + 270218.

It is an arithmetic number, because the mean of its divisors is an integer number (2936925).

Almost surely, 2123385430 is an apocalyptic number.

123385430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123385430 is an abundant number, since it is smaller than the sum of its proper divisors (158559370).

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

123385430 is a wasteful number, since it uses less digits than its factorization.

123385430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 123385430 is about 11107.8994413885. The cubic root of 123385430 is about 497.8379041592.

The spelling of 123385430 in words is "one hundred twenty-three million, three hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 29 35 38 49 58 70 95 98 133 145 190 203 245 266 290 406 457 490 551 665 914 931 1015 1102 1330 1421 1862 2030 2285 2755 2842 3199 3857 4570 4655 5510 6398 7105 7714 8683 9310 13253 14210 15995 17366 19285 22393 26506 26999 31990 38570 43415 44786 53998 60781 66265 86830 92771 111965 121562 132530 134995 185542 223930 251807 269990 303905 425467 463855 503614 607810 649397 850934 927710 1259035 1298794 1762649 2127335 2518070 3246985 3525298 4254670 6493970 8813245 12338543 17626490 24677086 61692715 123385430