Search a number
-
+
19875920 = 245594211
BaseRepresentation
bin100101111010…
…0100001010000
31101101210122012
41023310201100
520042012140
61550002052
7330641201
oct113644120
941353565
1019875920
1110246089
1267a6328
13416bacc
1428d55a8
151b29265
hex12f4850

19875920 has 40 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 7813760.

The previous prime is 19875913. The next prime is 19875949. The reversal of 19875920 is 2957891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615 + ... + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 219875920 is an apocalyptic number.

19875920 is a gapful number since it is divisible by the number (10) 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 19875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

19875920 is an abundant number, since it is smaller than the sum of its proper divisors (27130000).

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

19875920 is a wasteful number, since it uses less digits than its factorization.

19875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 19875920 is about 4458.2418059141. The cubic root of 19875920 is about 270.8792552243.

The spelling of 19875920 in words is "nineteen million, eight hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4211 4720 8422 16844 21055 33688 42110 67376 84220 168440 248449 336880 496898 993796 1242245 1987592 2484490 3975184 4968980 9937960 19875920