Search a number
-
+
1940000000 = 285797
BaseRepresentation
bin111001110100010…
…0000110100000000
312000012110012200212
41303220200310000
512433120000000
6520300533252
766034504451
oct16350406400
95005405625
101940000000
11906096794
12461851228
1324bbca3c3
1414591b128
15b54aec35
hex73a20d00

1940000000 has 144 divisors (see below), whose sum is σ = 4890417168. Its totient is φ = 768000000.

The previous prime is 1939999991. The next prime is 1940000003. The reversal of 1940000000 is 491.

It can be written as a sum of positive squares in 8 ways, for example, as 1457406976 + 482593024 = 38176^2 + 21968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1940000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999952 + ... + 20000048.

Almost surely, 21940000000 is an apocalyptic number.

1940000000 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 1940000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445208584).

1940000000 is an abundant number, since it is smaller than the sum of its proper divisors (2950417168).

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

1940000000 is an frugal number, since it uses more digits than its factorization.

1940000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1940000000 is about 44045.4310910905. The cubic root of 1940000000 is about 1247.1937044791.

Adding to 1940000000 its reverse (491), we get a palindrome (1940000491).

The spelling of 1940000000 in words is "one billion, nine hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 256 320 388 400 485 500 625 640 776 800 970 1000 1250 1280 1552 1600 1940 2000 2425 2500 3104 3125 3200 3880 4000 4850 5000 6208 6250 6400 7760 8000 9700 10000 12125 12416 12500 15520 15625 16000 19400 20000 24250 24832 25000 31040 31250 32000 38800 40000 48500 50000 60625 62080 62500 77600 78125 80000 97000 100000 121250 124160 125000 155200 156250 160000 194000 200000 242500 250000 303125 310400 312500 388000 400000 485000 500000 606250 620800 625000 776000 800000 970000 1000000 1212500 1250000 1515625 1552000 1940000 2000000 2425000 2500000 3031250 3104000 3880000 4000000 4850000 5000000 6062500 7578125 7760000 9700000 10000000 12125000 15156250 15520000 19400000 20000000 24250000 30312500 38800000 48500000 60625000 77600000 97000000 121250000 194000000 242500000 388000000 485000000 970000000 1940000000