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13840032 = 253144167
BaseRepresentation
bin110100110010…
…111010100000
3222001010221210
4310302322200
512020340112
61212350120
7225431643
oct64627240
928033853
1013840032
1178a3248
124775340
132b3768b
141ba3a5a
151335b3c
hexd32ea0

13840032 has 24 divisors (see below), whose sum is σ = 36330336. Its totient is φ = 4613312.

The previous prime is 13840003. The next prime is 13840033. The reversal of 13840032 is 23004831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×138400322 = 383092971522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13839990 and 13840008.

It is not an unprimeable number, because it can be changed into a prime (13840033) 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 3 ways as a sum of consecutive naturals, for example, 71988 + ... + 72179.

It is an arithmetic number, because the mean of its divisors is an integer number (1513764).

Almost surely, 213840032 is an apocalyptic number.

13840032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13840032 is an abundant number, since it is smaller than the sum of its proper divisors (22490304).

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

13840032 is a wasteful number, since it uses less digits than its factorization.

13840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144180 (or 144172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13840032 is about 3720.2193483718. The cubic root of 13840032 is about 240.0927419354.

Adding to 13840032 its reverse (23004831), we get a palindrome (36844863).

The spelling of 13840032 in words is "thirteen million, eight hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 144167 288334 432501 576668 865002 1153336 1730004 2306672 3460008 4613344 6920016 13840032