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14135310 = 23657277
BaseRepresentation
bin110101111011…
…000000001110
3222121011000000
4311323000032
512104312220
61222545130
7231101550
oct65730016
928534000
1014135310
117a85082
1248981a6
132c0bbb7
141c3d4d0
151393390
hexd7b00e

14135310 has 112 divisors (see below), whose sum is σ = 43754976. Its totient is φ = 3219264.

The previous prime is 14135309. The next prime is 14135321. The reversal of 14135310 is 1353141.

14135310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141353102 = 399613977592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50892 + ... + 51168.

Almost surely, 214135310 is an apocalyptic number.

14135310 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 14135310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877488).

14135310 is an abundant number, since it is smaller than the sum of its proper divisors (29619666).

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

14135310 is an equidigital number, since it uses as much as digits as its factorization.

14135310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 14135310 is about 3759.6954663909. The cubic root of 14135310 is about 241.7882057433.

Adding to 14135310 its reverse (1353141), we get a palindrome (15488451).

The spelling of 14135310 in words is "fourteen million, one hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 277 315 378 405 486 554 567 630 729 810 831 945 1134 1215 1385 1458 1662 1701 1890 1939 2430 2493 2770 2835 3402 3645 3878 4155 4986 5103 5670 5817 7290 7479 8310 8505 9695 10206 11634 12465 14958 17010 17451 19390 22437 24930 25515 29085 34902 37395 44874 51030 52353 58170 67311 74790 87255 104706 112185 134622 157059 174510 201933 224370 261765 314118 336555 403866 471177 523530 673110 785295 942354 1009665 1413531 1570590 2019330 2355885 2827062 4711770 7067655 14135310