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14105532 = 2237323149
BaseRepresentation
bin110101110011…
…101110111100
3222112122011010
4311303232330
512102334112
61222155220
7230616000
oct65635674
928478133
1014105532
117a64771
124882b10
132bcb48c
141c32700
15138963c
hexd73bbc

14105532 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 3829056.

The previous prime is 14105519. The next prime is 14105537. The reversal of 14105532 is 23550141.

It is a super-3 number, since 3×141055323 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14105499 and 14105508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14105537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94594 + ... + 94742.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 214105532 is an apocalyptic number.

14105532 is a gapful number since it is divisible by the number (12) 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 14105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

14105532 is an abundant number, since it is smaller than the sum of its proper divisors (26214468).

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

14105532 is a wasteful number, since it uses less digits than its factorization.

14105532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 14105532 is about 3755.7332173625. The cubic root of 14105532 is about 241.6182995291.

Adding to 14105532 its reverse (23550141), we get a palindrome (37655673).

The spelling of 14105532 in words is "fourteen million, one hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 149 161 196 276 294 298 322 343 447 483 588 596 644 686 894 966 1029 1043 1127 1372 1788 1932 2058 2086 2254 3129 3381 3427 4116 4172 4508 6258 6762 6854 7301 7889 10281 12516 13524 13708 14602 15778 20562 21903 23667 23989 29204 31556 41124 43806 47334 47978 51107 71967 87612 94668 95956 102214 143934 153321 167923 204428 287868 306642 335846 503769 613284 671692 1007538 1175461 2015076 2350922 3526383 4701844 7052766 14105532