Search a number
-
+
1031420000 = 2554133967
BaseRepresentation
bin111101011110100…
…011100001100000
32122212210120020202
4331132203201200
54103020420000
6250202524332
734362632252
oct7536434140
92585716222
101031420000
1148a234126
122495066a8
131358bb5c0
149ada9cd2
156083add5
hex3d7a3860

1031420000 has 120 divisors (see below), whose sum is σ = 2733325056. Its totient is φ = 380736000.

The previous prime is 1031419957. The next prime is 1031420009. The reversal of 1031420000 is 241301.

It is a happy number.

1031420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 258017 + ... + 261983.

Almost surely, 21031420000 is an apocalyptic number.

1031420000 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 1031420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366662528).

1031420000 is an abundant number, since it is smaller than the sum of its proper divisors (1701905056).

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

1031420000 is an equidigital number, since it uses as much as digits as its factorization.

1031420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1031420000 is about 32115.7282339977. The cubic root of 1031420000 is about 1010.3655181298.

Adding to 1031420000 its reverse (241301), we get a palindrome (1031661301).

The spelling of 1031420000 in words is "one billion, thirty-one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 3967 4000 5000 5200 6500 7934 8125 10000 10400 13000 15868 16250 19835 20000 26000 31736 32500 39670 51571 52000 63472 65000 79340 99175 103142 126944 130000 158680 198350 206284 257855 260000 317360 396700 412568 495875 515710 634720 793400 825136 991750 1031420 1289275 1586800 1650272 1983500 2062840 2479375 2578550 3173600 3967000 4125680 4958750 5157100 6446375 7934000 8251360 9917500 10314200 12892750 15868000 19835000 20628400 25785500 32231875 39670000 41256800 51571000 64463750 79340000 103142000 128927500 206284000 257855000 515710000 1031420000