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16116984 = 23321367257
BaseRepresentation
bin111101011110…
…110011111000
31010022211100100
4331132303320
513111220414
61333235400
7253664202
oct75366370
933284310
1016116984
119108a24
125492b60
133453ba0
1421d7772
151635609
hexf5ecf8

16116984 has 96 divisors (see below), whose sum is σ = 47895120. Its totient is φ = 4866048.

The previous prime is 16116983. The next prime is 16117033. The reversal of 16116984 is 48961161.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16116983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62584 + ... + 62840.

Almost surely, 216116984 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 16116984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23947560).

16116984 is an abundant number, since it is smaller than the sum of its proper divisors (31778136).

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

16116984 is a wasteful number, since it uses less digits than its factorization.

16116984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 16116984 is about 4014.5963682542. The cubic root of 16116984 is about 252.5968468151.

The spelling of 16116984 in words is "sixteen million, one hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 257 268 312 402 468 514 536 603 771 804 871 936 1028 1206 1542 1608 1742 2056 2313 2412 2613 3084 3341 3484 4626 4824 5226 6168 6682 6968 7839 9252 10023 10452 13364 15678 17219 18504 20046 20904 26728 30069 31356 34438 40092 51657 60138 62712 68876 80184 103314 120276 137752 154971 206628 223847 240552 309942 413256 447694 619884 671541 895388 1239768 1343082 1790776 2014623 2686164 4029246 5372328 8058492 16116984