Search a number
-
+
1890486600 = 2335222913759
BaseRepresentation
bin111000010101110…
…1000100101001000
311212202021200002020
41300223220211020
512332431032400
6511331404440
764563604512
oct16053504510
94782250066
101890486600
11890148622
12449153720
13241882632
1413d10cbb2
15b0e7e2a0
hex70ae8948

1890486600 has 96 divisors (see below), whose sum is σ = 5886528000. Its totient is φ = 501891840.

The previous prime is 1890486553. The next prime is 1890486613. The reversal of 1890486600 is 66840981.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 130521 + ... + 144279.

It is an arithmetic number, because the mean of its divisors is an integer number (61318000).

Almost surely, 21890486600 is an apocalyptic number.

1890486600 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 1890486600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943264000).

1890486600 is an abundant number, since it is smaller than the sum of its proper divisors (3996041400).

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

1890486600 is a wasteful number, since it uses less digits than its factorization.

1890486600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 13998 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1890486600 is about 43479.7263100862. The cubic root of 1890486600 is about 1236.4916875799.

The spelling of 1890486600 in words is "one billion, eight hundred ninety million, four hundred eighty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 229 300 458 600 687 916 1145 1374 1832 2290 2748 3435 4580 5496 5725 6870 9160 11450 13740 13759 17175 22900 27480 27518 34350 41277 45800 55036 68700 68795 82554 110072 137400 137590 165108 206385 275180 330216 343975 412770 550360 687950 825540 1031925 1375900 1651080 2063850 2751800 3150811 4127700 6301622 8255400 9452433 12603244 15754055 18904866 25206488 31508110 37809732 47262165 63016220 75619464 78770275 94524330 126032440 157540550 189048660 236310825 315081100 378097320 472621650 630162200 945243300 1890486600