Search a number
-
+
16332984 = 2332376131
BaseRepresentation
bin111110010011…
…100010111000
31010201210122100
4332103202320
513140123414
61342023400
7255554013
oct76234270
933653570
1016332984
119246238
125577b60
1334cb2b5
14225237a
151679609
hexf938b8

16332984 has 48 divisors (see below), whose sum is σ = 45438120. Its totient is φ = 5296320.

The previous prime is 16332973. The next prime is 16332997. The reversal of 16332984 is 48923361.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 402 + ... + 5729.

Almost surely, 216332984 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 16332984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

16332984 is an abundant number, since it is smaller than the sum of its proper divisors (29105136).

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

16332984 is a wasteful number, since it uses less digits than its factorization.

16332984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6173 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 16332984 is about 4041.4086653047. The cubic root of 16332984 is about 253.7202781725.

The spelling of 16332984 in words is "sixteen million, three hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 6131 12262 18393 24524 36786 49048 55179 73572 110358 147144 220716 226847 441432 453694 680541 907388 1361082 1814776 2041623 2722164 4083246 5444328 8166492 16332984