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14205136 = 2411431877
BaseRepresentation
bin110110001100…
…000011010000
3222201200210011
4312030003100
512114031021
61224244304
7231512251
oct66140320
928650704
1014205136
118022590
124910694
132c3490a
141c5ab28
1513a8de1
hexd8c0d0

14205136 has 40 divisors (see below), whose sum is σ = 30739104. Its totient is φ = 6303360.

The previous prime is 14205133. The next prime is 14205137. The reversal of 14205136 is 63150241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14205133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6630 + ... + 8506.

Almost surely, 214205136 is an apocalyptic number.

14205136 is a gapful number since it is divisible by the number (16) 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 14205136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369552).

14205136 is an abundant number, since it is smaller than the sum of its proper divisors (16533968).

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

14205136 is a wasteful number, since it uses less digits than its factorization.

14205136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 14205136 is about 3768.9701511156. The cubic root of 14205136 is about 242.1856826863.

Adding to 14205136 its reverse (63150241), we get a palindrome (77355377).

It can be divided in two parts, 14205 and 136, that added together give a palindrome (14341).

The spelling of 14205136 in words is "fourteen million, two hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1877 1892 3754 3784 7508 7568 15016 20647 30032 41294 80711 82588 161422 165176 322844 330352 645688 887821 1291376 1775642 3551284 7102568 14205136