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14165928 = 23367347
BaseRepresentation
bin110110000010…
…011110101000
3222122201000000
4312002132220
512111302203
61223343000
7231260040
oct66023650
928581000
1014165928
117aa6087
1248b1a60
132c1cb0a
141c4a720
15139c4a3
hexd827a8

14165928 has 112 divisors (see below), whose sum is σ = 45643680. Its totient is φ = 4035744.

The previous prime is 14165923. The next prime is 14165929. The reversal of 14165928 is 82956141.

It is a super-2 number, since 2×141659282 = 401347032202368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14165892 and 14165901.

It is not an unprimeable number, because it can be changed into a prime (14165923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40651 + ... + 40997.

Almost surely, 214165928 is an apocalyptic number.

14165928 is a gapful number since it is divisible by the number (18) 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 14165928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821840).

14165928 is an abundant number, since it is smaller than the sum of its proper divisors (31477752).

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

14165928 is an equidigital number, since it uses as much as digits as its factorization.

14165928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14165928 is about 3763.7651361370. The cubic root of 14165928 is about 241.9626561688.

The spelling of 14165928 in words is "fourteen million, one hundred sixty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 347 378 486 504 567 648 694 729 756 972 1041 1134 1388 1458 1512 1701 1944 2082 2268 2429 2776 2916 3123 3402 4164 4536 4858 5103 5832 6246 6804 7287 8328 9369 9716 10206 12492 13608 14574 18738 19432 20412 21861 24984 28107 29148 37476 40824 43722 56214 58296 65583 74952 84321 87444 112428 131166 168642 174888 196749 224856 252963 262332 337284 393498 505926 524664 590247 674568 786996 1011852 1180494 1573992 1770741 2023704 2360988 3541482 4721976 7082964 14165928