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14123928 = 23371329223
BaseRepresentation
bin110101111000…
…001110011000
3222120120101110
4311320032120
512103431203
61222420320
7231023430
oct65701630
928516343
1014123928
117a77575
1248916a0
132c06970
141c392c0
15138ed03
hexd78398

14123928 has 128 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 3580416.

The previous prime is 14123881. The next prime is 14123939. The reversal of 14123928 is 82932141.

14123928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14123895 and 14123904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63225 + ... + 63447.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 214123928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

14123928 is an abundant number, since it is smaller than the sum of its proper divisors (31034472).

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

14123928 is a wasteful number, since it uses less digits than its factorization.

14123928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14123928 is about 3758.1814751286. The cubic root of 14123928 is about 241.7232909460.

It can be divided in two parts, 14123 and 928, that added together give a palindrome (15051).

The spelling of 14123928 in words is "fourteen million, one hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 223 232 273 312 348 364 377 406 446 546 609 669 696 728 754 812 892 1092 1131 1218 1338 1508 1561 1624 1784 2184 2262 2436 2639 2676 2899 3016 3122 4524 4683 4872 5278 5352 5798 6244 6467 7917 8697 9048 9366 10556 11596 12488 12934 15834 17394 18732 19401 20293 21112 23192 25868 31668 34788 37464 38802 40586 45269 51736 60879 63336 69576 77604 81172 84071 90538 121758 135807 155208 162344 168142 181076 243516 252213 271614 336284 362152 487032 504426 543228 588497 672568 1008852 1086456 1176994 1765491 2017704 2353988 3530982 4707976 7061964 14123928