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14142528 = 263243571
BaseRepresentation
bin110101111100…
…110001000000
3222121111220100
4311330301000
512110030103
61223042400
7231131601
oct65746100
928544810
1014142528
117a8a544
1248a0400
132c1227a
141c41da8
1513955a3
hexd7cc40

14142528 has 84 divisors (see below), whose sum is σ = 41552368. Its totient is φ = 4596480.

The previous prime is 14142497. The next prime is 14142529. The reversal of 14142528 is 82524141.

It is a super-2 number, since 2×141425282 = 400022196461568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14142529) 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 11 ways as a sum of consecutive naturals, for example, 24483 + ... + 25053.

Almost surely, 214142528 is an apocalyptic number.

14142528 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 14142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776184).

14142528 is an abundant number, since it is smaller than the sum of its proper divisors (27409840).

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

14142528 is a wasteful number, since it uses less digits than its factorization.

14142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 14142528 is about 3760.6552620521. The cubic root of 14142528 is about 241.8293540048.

Adding to 14142528 its reverse (82524141), we get a palindrome (96666669).

The spelling of 14142528 in words is "fourteen million, one hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 571 576 688 774 1032 1142 1376 1548 1713 2064 2284 2752 3096 3426 4128 4568 5139 6192 6852 8256 9136 10278 12384 13704 18272 20556 24553 24768 27408 36544 41112 49106 54816 73659 82224 98212 109632 147318 164448 196424 220977 294636 328896 392848 441954 589272 785696 883908 1178544 1571392 1767816 2357088 3535632 4714176 7071264 14142528