Search a number
-
+
19760380 = 22519149349
BaseRepresentation
bin100101101100…
…0010011111100
31101011221010221
41023120103330
520024313010
61543311124
7326650303
oct113302374
941157127
1019760380
11101772a2
12674b4a4
13412b343
1428a543a
151b04dda
hex12d84fc

19760380 has 48 divisors (see below), whose sum is σ = 44100000. Its totient is φ = 7416576.

The previous prime is 19760371. The next prime is 19760383. The reversal of 19760380 is 8306791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19760383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56446 + ... + 56794.

It is an arithmetic number, because the mean of its divisors is an integer number (918750).

Almost surely, 219760380 is an apocalyptic number.

19760380 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 19760380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050000).

19760380 is an abundant number, since it is smaller than the sum of its proper divisors (24339620).

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

19760380 is a wasteful number, since it uses less digits than its factorization.

19760380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 19760380 is about 4445.2648964938. The cubic root of 19760380 is about 270.3533553693.

The spelling of 19760380 in words is "nineteen million, seven hundred sixty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 349 380 596 698 745 1396 1490 1745 2831 2980 3490 5662 6631 6980 11324 13262 14155 26524 28310 33155 52001 56620 66310 104002 132620 208004 260005 520010 988019 1040020 1976038 3952076 4940095 9880190 19760380