Search a number
-
+
319000020 = 22355997929
BaseRepresentation
bin10011000000111…
…000110111010100
3211020020212202120
4103000320313110
51123131000040
651353135540
710622312133
oct2300706724
9736225676
10319000020
11154081489
128a9ba5b0
1351121011
143051b91a
151d0137d0
hex13038dd4

319000020 has 96 divisors (see below), whose sum is σ = 918691200. Its totient is φ = 82673664.

The previous prime is 318999991. The next prime is 319000021. The reversal of 319000020 is 20000913.

It is a super-2 number, since 2×3190000202 = 203522025520000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319000021) 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 31 ways as a sum of consecutive naturals, for example, 342916 + ... + 343844.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2319000020 is an apocalyptic number.

319000020 is a gapful number since it is divisible by the number (30) 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 319000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459345600).

319000020 is an abundant number, since it is smaller than the sum of its proper divisors (599691180).

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

319000020 is a wasteful number, since it uses less digits than its factorization.

319000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 319000020 is about 17860.5716593843. The cubic root of 319000020 is about 683.2771595042.

Adding to 319000020 its reverse (20000913), we get a palindrome (339000933).

The spelling of 319000020 in words is "three hundred nineteen million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 97 118 177 194 236 291 295 354 388 485 582 590 708 885 929 970 1164 1180 1455 1770 1858 1940 2787 2910 3540 3716 4645 5574 5723 5820 9290 11148 11446 13935 17169 18580 22892 27870 28615 34338 54811 55740 57230 68676 85845 90113 109622 114460 164433 171690 180226 219244 270339 274055 328866 343380 360452 450565 540678 548110 657732 822165 901130 1081356 1096220 1351695 1644330 1802260 2703390 3288660 5316667 5406780 10633334 15950001 21266668 26583335 31900002 53166670 63800004 79750005 106333340 159500010 319000020