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13711984 = 2411132461
BaseRepresentation
bin110100010011…
…101001110000
3221210122022021
4310103221300
512002240414
61205521224
7224356426
oct64235160
927718267
1013711984
117816020
124713214
132ac1300
141b6d116
15130cc24
hexd13a70

13711984 has 60 divisors (see below), whose sum is σ = 31451112. Its totient is φ = 5740800.

The previous prime is 13711981. The next prime is 13711991. The reversal of 13711984 is 48911731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13711981) 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 11 ways as a sum of consecutive naturals, for example, 29514 + ... + 29974.

Almost surely, 213711984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13711984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725556).

13711984 is an abundant number, since it is smaller than the sum of its proper divisors (17739128).

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

13711984 is a wasteful number, since it uses less digits than its factorization.

13711984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its digits is 6048, while the sum is 34.

The square root of 13711984 is about 3702.9696191030. The cubic root of 13711984 is about 239.3500004342.

It can be divided in two parts, 137 and 11984, that added together give a palindrome (12121).

The spelling of 13711984 in words is "thirteen million, seven hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 461 572 676 922 1144 1352 1844 1859 2288 2704 3688 3718 5071 5993 7376 7436 10142 11986 14872 20284 23972 29744 40568 47944 65923 77909 81136 95888 131846 155818 263692 311636 527384 623272 856999 1054768 1246544 1713998 3427996 6855992 13711984