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13831146 = 2327313541
BaseRepresentation
bin110100110000…
…101111101010
3222000200202200
4310300233222
512020044041
61212241030
7225364020
oct64605752
928020680
1013831146
1178975aa
124770176
132b33614
141ba0710
1513331b6
hexd30bea

13831146 has 48 divisors (see below), whose sum is σ = 35363328. Its totient is φ = 3823200.

The previous prime is 13831121. The next prime is 13831159. The reversal of 13831146 is 64113831.

13831146 = T243 + T244 + ... + T459.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136 + ... + 5676.

It is an arithmetic number, because the mean of its divisors is an integer number (736736).

Almost surely, 213831146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681664).

13831146 is an abundant number, since it is smaller than the sum of its proper divisors (21532182).

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

13831146 is a wasteful number, since it uses less digits than its factorization.

13831146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3584 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13831146 is about 3719.0248721943. The cubic root of 13831146 is about 240.0413470430.

Adding to 13831146 its reverse (64113831), we get a palindrome (77944977).

The spelling of 13831146 in words is "thirteen million, eight hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3541 3906 7082 10623 21246 24787 31869 49574 63738 74361 109771 148722 219542 223083 329313 446166 658626 768397 987939 1536794 1975878 2305191 4610382 6915573 13831146