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14022528 = 27313532
BaseRepresentation
bin110101011111…
…011110000000
3222101102021220
4311133132000
512042210103
61220315040
7230122002
oct65373600
928342256
1014022528
117a08373
124842a80
132b9c770
141c10372
15136ec53
hexd5f780

14022528 has 96 divisors (see below), whose sum is σ = 40883640. Its totient is φ = 4233216.

The previous prime is 14022527. The next prime is 14022529. The reversal of 14022528 is 82522041.

It is an interprime number because it is at equal distance from previous prime (14022527) and next prime (14022529).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14022498 and 14022507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264550 + ... + 264602.

Almost surely, 214022528 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 14022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441820).

14022528 is an abundant number, since it is smaller than the sum of its proper divisors (26861112).

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

14022528 is an equidigital number, since it uses as much as digits as its factorization.

14022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14022528 is about 3744.6666073230. Note that the first 4 decimals coincide. The cubic root of 14022528 is about 241.1434325789.

Adding to 14022528 its reverse (82522041), we get a palindrome (96544569).

The spelling of 14022528 in words is "fourteen million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 312 318 384 416 424 624 636 689 832 848 1248 1272 1378 1664 1696 2067 2496 2544 2756 2809 3392 4134 4992 5088 5512 5618 6784 8268 8427 10176 11024 11236 16536 16854 20352 22048 22472 33072 33708 36517 44096 44944 66144 67416 73034 88192 89888 109551 132288 134832 146068 179776 219102 264576 269664 292136 359552 438204 539328 584272 876408 1078656 1168544 1752816 2337088 3505632 4674176 7011264 14022528