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13831128 = 233364033
BaseRepresentation
bin110100110000…
…101111011000
3222000200202000
4310300233120
512020044003
61212241000
7225363663
oct64605730
928020660
1013831128
117897593
124770160
132b335cc
141ba06da
1513331a3
hexd30bd8

13831128 has 32 divisors (see below), whose sum is σ = 38420400. Its totient is φ = 4610304.

The previous prime is 13831121. The next prime is 13831159. The reversal of 13831128 is 82113831.

13831128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831121) 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, 31801 + ... + 32232.

Almost surely, 213831128 is an apocalyptic number.

13831128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13831128 is an abundant number, since it is smaller than the sum of its proper divisors (24589272).

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

13831128 is a wasteful number, since it uses less digits than its factorization.

13831128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64048 (or 64038 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 13831128 is about 3719.0224522043. The cubic root of 13831128 is about 240.0412429122.

Adding to 13831128 its reverse (82113831), we get a palindrome (95944959).

The spelling of 13831128 in words is "thirteen million, eight hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 64033 128066 192099 256132 384198 512264 576297 768396 1152594 1536792 1728891 2305188 3457782 4610376 6915564 13831128