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14670432 = 2532719383
BaseRepresentation
bin110111111101…
…101001100000
31000121100001100
4313331221200
512223423212
61242234400
7235460640
oct67755140
930540040
1014670432
118310127
124ab5a00
13306863a
141d3c520
15144bbdc
hexdfda60

14670432 has 144 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 3960576.

The previous prime is 14670431. The next prime is 14670457. The reversal of 14670432 is 23407641.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14670396 and 14670405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14670431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38113 + ... + 38495.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 214670432 is an apocalyptic number.

14670432 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 14670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14670432 is an abundant number, since it is smaller than the sum of its proper divisors (35648928).

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

14670432 is a wasteful number, since it uses less digits than its factorization.

14670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14670432 is about 3830.1999947783. The cubic root of 14670432 is about 244.8016275683.

The spelling of 14670432 in words is "fourteen million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 383 399 456 504 532 608 672 684 766 798 912 1008 1064 1149 1197 1368 1532 1596 1824 2016 2128 2298 2394 2681 2736 3064 3192 3447 4256 4596 4788 5362 5472 6128 6384 6894 7277 8043 9192 9576 10724 12256 12768 13788 14554 16086 18384 19152 21448 21831 24129 27576 29108 32172 36768 38304 42896 43662 48258 50939 55152 58216 64344 65493 85792 87324 96516 101878 110304 116432 128688 130986 152817 174648 193032 203756 232864 257376 261972 305634 349296 386064 407512 458451 523944 611268 698592 772128 815024 916902 1047888 1222536 1630048 1833804 2095776 2445072 3667608 4890144 7335216 14670432