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14411712 = 263710723
BaseRepresentation
bin110110111110…
…011111000000
31000010012011010
4312332133000
512142133322
61232520520
7233332440
oct66763700
930105133
1014411712
118153807
1249b0140
132ca7953
141cb2120
1513ea20c
hexdbe7c0

14411712 has 56 divisors (see below), whose sum is σ = 43582336. Its totient is φ = 4117248.

The previous prime is 14411701. The next prime is 14411713. The reversal of 14411712 is 21711441.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14411713) 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, 4018 + ... + 6705.

It is an arithmetic number, because the mean of its divisors is an integer number (778256).

Almost surely, 214411712 is an apocalyptic number.

14411712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14411712 is an abundant number, since it is smaller than the sum of its proper divisors (29170624).

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

14411712 is a wasteful number, since it uses less digits than its factorization.

14411712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10735 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 14411712 is about 3796.2760700455. The cubic root of 14411712 is about 243.3540200507.

The spelling of 14411712 in words is "fourteen million, four hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10723 21446 32169 42892 64338 75061 85784 128676 150122 171568 225183 257352 300244 343136 450366 514704 600488 686272 900732 1029408 1200976 1801464 2058816 2401952 3602928 4803904 7205856 14411712