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13161984 = 293111941
BaseRepresentation
bin110010001101…
…011000000000
3220202200211220
4302031120000
511332140414
61150035040
7216606063
oct62153000
926680756
1013161984
11747a880
1244a8a80
13295ab74
141a688da
15124eca9
hexc8d600

13161984 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3686400.

The previous prime is 13161983. The next prime is 13161991. The reversal of 13161984 is 48916131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321004 + ... + 321044.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 213161984 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 13161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13161984 is an abundant number, since it is smaller than the sum of its proper divisors (28085376).

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

13161984 is a wasteful number, since it uses less digits than its factorization.

13161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 13161984 is about 3627.9448727896. The cubic root of 13161984 is about 236.1060521156.

The spelling of 13161984 in words is "thirteen million, one hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 41 44 48 57 64 66 76 82 88 96 114 123 128 132 152 164 176 192 209 228 246 256 264 304 328 352 384 418 451 456 492 512 528 608 627 656 704 768 779 836 902 912 984 1056 1216 1254 1312 1353 1408 1536 1558 1672 1804 1824 1968 2112 2337 2432 2508 2624 2706 2816 3116 3344 3608 3648 3936 4224 4674 4864 5016 5248 5412 5632 6232 6688 7216 7296 7872 8448 8569 9348 9728 10032 10496 10824 12464 13376 14432 14592 15744 16896 17138 18696 20064 20992 21648 24928 25707 26752 28864 29184 31488 34276 37392 40128 43296 49856 51414 53504 57728 62976 68552 74784 80256 86592 99712 102828 107008 115456 137104 149568 160512 173184 199424 205656 230912 274208 299136 321024 346368 398848 411312 548416 598272 692736 822624 1096832 1196544 1645248 2193664 3290496 4387328 6580992 13161984