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19872 = 253323
BaseRepresentation
bin100110110100000
31000021000
410312200
51113442
6232000
7111636
oct46640
930230
1019872
1113a26
12b600
139078
147356
155d4c
hex4da0

19872 has 48 divisors (see below), whose sum is σ = 60480. Its totient is φ = 6336.

The previous prime is 19867. The next prime is 19889. The reversal of 19872 is 27891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1008) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

19872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

219872 is an apocalyptic number.

19872 is a gapful number since it is divisible by the number (12) 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 19872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

19872 is an abundant number, since it is smaller than the sum of its proper divisors (40608).

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

19872 is a wasteful number, since it uses less digits than its factorization.

19872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 19872 is about 140.9680814936. The cubic root of 19872 is about 27.0861446128.

The spelling of 19872 in words is "nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872