Search a number
-
+
19954000 = 245311907
BaseRepresentation
bin100110000011…
…1100101010000
31101112202202001
41030013211100
520102012000
61551403344
7331414633
oct114074520
941482661
1019954000
1110299810
126823554
134198501
142915c1a
151b4246a
hex1307950

19954000 has 80 divisors (see below), whose sum is σ = 52693056. Its totient is φ = 7248000.

The previous prime is 19953979. The next prime is 19954027. The reversal of 19954000 is 45991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 19954000.

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, 21547 + ... + 22453.

Almost surely, 219954000 is an apocalyptic number.

19954000 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 19954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26346528).

19954000 is an abundant number, since it is smaller than the sum of its proper divisors (32739056).

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

19954000 is a wasteful number, since it uses less digits than its factorization.

19954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 19954000 is about 4466.9900380458. The cubic root of 19954000 is about 271.2334965573.

Adding to 19954000 its reverse (45991), we get a palindrome (19999991).

It can be divided in two parts, 1995 and 4000, that added together give a palindrome (5995).

The spelling of 19954000 in words is "nineteen million, nine hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 907 1000 1100 1375 1814 2000 2200 2750 3628 4400 4535 5500 7256 9070 9977 11000 14512 18140 19954 22000 22675 36280 39908 45350 49885 72560 79816 90700 99770 113375 159632 181400 199540 226750 249425 362800 399080 453500 498850 798160 907000 997700 1247125 1814000 1995400 2494250 3990800 4988500 9977000 19954000