Search a number
-
+
19890576 = 2433411123
BaseRepresentation
bin100101111100…
…0000110010000
31101102112202000
41023320012100
520042444301
61550154000
7331032006
oct113700620
941375660
1019890576
11102560a2
1267b2900
134175694
1428daa76
151b2d786
hex12f8190

19890576 has 80 divisors (see below), whose sum is σ = 58537920. Its totient is φ = 6462720.

The previous prime is 19890523. The next prime is 19890583. The reversal of 19890576 is 67509891.

It is a super-2 number, since 2×198905762 = 791270027223552, which contains 22 as substring.

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, 17151 + ... + 18273.

It is an arithmetic number, because the mean of its divisors is an integer number (731724).

Almost surely, 219890576 is an apocalyptic number.

19890576 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 19890576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268960).

19890576 is an abundant number, since it is smaller than the sum of its proper divisors (38647344).

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

19890576 is a wasteful number, since it uses less digits than its factorization.

19890576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19890576 is about 4459.8852003163. The cubic root of 19890576 is about 270.9458187003.

The spelling of 19890576 in words is "nineteen million, eight hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1123 1476 1968 2214 2246 2952 3369 4428 4492 5904 6738 8856 8984 10107 13476 17712 17968 20214 26952 30321 40428 46043 53904 60642 80856 92086 121284 138129 161712 184172 242568 276258 368344 414387 485136 552516 736688 828774 1105032 1243161 1657548 2210064 2486322 3315096 4972644 6630192 9945288 19890576