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14047104 = 273157233
BaseRepresentation
bin110101100101…
…011110000000
3222102200000010
4311211132000
512044001404
61221024520
7230253441
oct65453600
928380003
1014047104
117a24885
124855140
132baa9c6
141c192c8
151377189
hexd65780

14047104 has 64 divisors (see below), whose sum is σ = 37711440. Its totient is φ = 4632576.

The previous prime is 14047091. The next prime is 14047109. The reversal of 14047104 is 40174041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140471042 = 394642261573632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14047109) 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 7 ways as a sum of consecutive naturals, for example, 60172 + ... + 60404.

Almost surely, 214047104 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 14047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855720).

14047104 is an abundant number, since it is smaller than the sum of its proper divisors (23664336).

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

14047104 is a wasteful number, since it uses less digits than its factorization.

14047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 14047104 is about 3747.9466378272. The cubic root of 14047104 is about 241.2842270248.

The spelling of 14047104 in words is "fourteen million, forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 233 314 384 466 471 628 699 932 942 1256 1398 1864 1884 2512 2796 3728 3768 5024 5592 7456 7536 10048 11184 14912 15072 20096 22368 29824 30144 36581 44736 60288 73162 89472 109743 146324 219486 292648 438972 585296 877944 1170592 1755888 2341184 3511776 4682368 7023552 14047104