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13831008 = 253144073
BaseRepresentation
bin110100110000…
…101101100000
3222000200120120
4310300231200
512020043013
61212240240
7225363432
oct64605540
928020516
1013831008
117897494
124770080
132b33539
141ba0652
151333123
hexd30b60

13831008 has 24 divisors (see below), whose sum is σ = 36306648. Its totient is φ = 4610304.

The previous prime is 13830997. The next prime is 13831009. The reversal of 13831008 is 80013831.

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

It is a super-3 number, since 3×138310083 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71941 + ... + 72132.

It is an arithmetic number, because the mean of its divisors is an integer number (1512777).

Almost surely, 213831008 is an apocalyptic number.

It is an amenable number.

13831008 is an abundant number, since it is smaller than the sum of its proper divisors (22475640).

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

13831008 is a wasteful number, since it uses less digits than its factorization.

13831008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144086 (or 144078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13831008 is about 3719.0063188976. The cubic root of 13831008 is about 240.0405487043.

Adding to 13831008 its reverse (80013831), we get a palindrome (93844839).

The spelling of 13831008 in words is "thirteen million, eight hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 144073 288146 432219 576292 864438 1152584 1728876 2305168 3457752 4610336 6915504 13831008