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16113984 = 263234189
BaseRepresentation
bin111101011110…
…000101000000
31010022200020020
4331132011000
513111121414
61333213440
7253652355
oct75360500
933280206
1016113984
119106747
125491280
133452703
1421d662c
1516347a9
hexf5e140

16113984 has 112 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 4956160.

The previous prime is 16113971. The next prime is 16113989. The reversal of 16113984 is 48931161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16113989) 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 15 ways as a sum of consecutive naturals, for example, 181012 + ... + 181100.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 216113984 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 16113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

16113984 is an abundant number, since it is smaller than the sum of its proper divisors (29971776).

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

16113984 is a wasteful number, since it uses less digits than its factorization.

16113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

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

The square root of 16113984 is about 4014.2227142997. Note that the first 3 decimals coincide. The cubic root of 16113984 is about 252.5811731307.

The spelling of 16113984 in words is "sixteen million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 89 92 96 123 138 164 178 184 192 246 267 276 328 356 368 492 534 552 656 712 736 943 984 1068 1104 1312 1424 1472 1886 1968 2047 2136 2208 2624 2829 2848 3649 3772 3936 4094 4272 4416 5658 5696 6141 7298 7544 7872 8188 8544 10947 11316 12282 14596 15088 16376 17088 21894 22632 24564 29192 30176 32752 43788 45264 49128 58384 60352 65504 83927 87576 90528 98256 116768 131008 167854 175152 181056 196512 233536 251781 335708 350304 393024 503562 671416 700608 1007124 1342832 2014248 2685664 4028496 5371328 8056992 16113984