Search a number
-
+
18873216 = 273343127
BaseRepresentation
bin100011111111…
…1101110000000
31022111212012000
41013333232000
514312420331
61512304000
7316263645
oct107775600
938455160
1018873216
11a7207aa
1263a2000
133baa5ab
142713dcc
1519cc0e6
hex11ffb80

18873216 has 128 divisors (see below), whose sum is σ = 57446400. Its totient is φ = 6096384.

The previous prime is 18873199. The next prime is 18873227. The reversal of 18873216 is 61237881.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148545 + ... + 148671.

It is an arithmetic number, because the mean of its divisors is an integer number (448800).

Almost surely, 218873216 is an apocalyptic number.

18873216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28723200).

18873216 is an abundant number, since it is smaller than the sum of its proper divisors (38573184).

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

18873216 is a wasteful number, since it uses less digits than its factorization.

18873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18873216 is about 4344.3314790656. The cubic root of 18873216 is about 266.2453123555.

The spelling of 18873216 in words is "eighteen million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 127 128 129 144 172 192 216 254 258 288 344 381 384 387 432 508 516 576 688 762 774 864 1016 1032 1143 1152 1161 1376 1524 1548 1728 2032 2064 2286 2322 2752 3048 3096 3429 3456 4064 4128 4572 4644 5461 5504 6096 6192 6858 8128 8256 9144 9288 10922 12192 12384 13716 16256 16383 16512 18288 18576 21844 24384 24768 27432 32766 36576 37152 43688 48768 49149 49536 54864 65532 73152 74304 87376 98298 109728 131064 146304 147447 148608 174752 196596 219456 262128 294894 349504 393192 438912 524256 589788 699008 786384 1048512 1179576 1572768 2097024 2359152 3145536 4718304 6291072 9436608 18873216