Search a number
-
+
19960000 = 2654499
BaseRepresentation
bin100110000100…
…1000011000000
31101120001222021
41030021003000
520102210000
61551451224
7331441264
oct114110300
941501867
1019960000
11102a3275
126826b14
13419b168
1429180a4
151b4411a
hex13090c0

19960000 has 70 divisors (see below), whose sum is σ = 49593500. Its totient is φ = 7968000.

The previous prime is 19959977. The next prime is 19960009. The reversal of 19960000 is 6991.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (19960009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39751 + ... + 40249.

Almost surely, 219960000 is an apocalyptic number.

19960000 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 19960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796750).

19960000 is an abundant number, since it is smaller than the sum of its proper divisors (29633500).

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

19960000 is an frugal number, since it uses more digits than its factorization.

19960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 19960000 is about 4467.6615807377. The cubic root of 19960000 is about 271.2606797100.

Adding to 19960000 its reverse (6991), we get a palindrome (19966991).

The spelling of 19960000 in words is "nineteen million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 499 500 625 800 998 1000 1250 1600 1996 2000 2495 2500 3992 4000 4990 5000 7984 8000 9980 10000 12475 15968 19960 20000 24950 31936 39920 40000 49900 62375 79840 99800 124750 159680 199600 249500 311875 399200 499000 623750 798400 998000 1247500 1996000 2495000 3992000 4990000 9980000 19960000