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13491984 = 24311223101
BaseRepresentation
bin110011011101…
…111100010000
3221101110112010
4303131330100
511423220414
61201102520
7222452142
oct63357420
927343463
1013491984
117685800
124627a40
132a4512c
141b12c92
1512b7959
hexcddf10

13491984 has 120 divisors (see below), whose sum is σ = 40372416. Its totient is φ = 3872000.

The previous prime is 13491983. The next prime is 13491997. The reversal of 13491984 is 48919431.

It is not an unprimeable number, because it can be changed into a prime (13491983) by changing a digit.

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, 133534 + ... + 133634.

Almost surely, 213491984 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 13491984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20186208).

13491984 is an abundant number, since it is smaller than the sum of its proper divisors (26880432).

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

13491984 is a wasteful number, since it uses less digits than its factorization.

13491984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 13491984 is about 3673.1436127655. The cubic root of 13491984 is about 238.0630202908.

It can be divided in two parts, 1349 and 1984, that added together give a palindrome (3333).

The spelling of 13491984 in words is "thirteen million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 101 121 132 138 176 184 202 242 253 264 276 303 363 368 404 484 506 528 552 606 726 759 808 968 1012 1104 1111 1212 1452 1518 1616 1936 2024 2222 2323 2424 2783 2904 3036 3333 4048 4444 4646 4848 5566 5808 6072 6666 6969 8349 8888 9292 11132 12144 12221 13332 13938 16698 17776 18584 22264 24442 25553 26664 27876 33396 36663 37168 44528 48884 51106 53328 55752 66792 73326 76659 97768 102212 111504 133584 146652 153318 195536 204424 281083 293304 306636 408848 562166 586608 613272 843249 1124332 1226544 1686498 2248664 3372996 4497328 6745992 13491984