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16681984 = 210111481
BaseRepresentation
bin111111101000…
…110000000000
31011101112101021
4333220300000
513232310414
61353315224
7261536344
oct77506000
934345337
1016681984
119464470
125705b14
1335c10c7
142303624
1516e7c24
hexfe8c00

16681984 has 44 divisors (see below), whose sum is σ = 36403848. Its totient is φ = 7577600.

The previous prime is 16681949. The next prime is 16681991. The reversal of 16681984 is 48918661.

It is a tau number, because it is divible by the number of its divisors (44).

It is a self number, because there is not a number n which added to its sum of digits gives 16681984.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10524 + ... + 12004.

Almost surely, 216681984 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 16681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201924).

16681984 is an abundant number, since it is smaller than the sum of its proper divisors (19721864).

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

16681984 is a wasteful number, since it uses less digits than its factorization.

16681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1494 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 16681984 is about 4084.3584563552. The cubic root of 16681984 is about 255.5147056179.

The spelling of 16681984 in words is "sixteen million, six hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1481 2816 2962 5632 5924 11264 11848 16291 23696 32582 47392 65164 94784 130328 189568 260656 379136 521312 758272 1042624 1516544 2085248 4170496 8340992 16681984