Search a number
-
+
1430021140 = 2253710917729
BaseRepresentation
bin101010100111100…
…0110010000010100
310200122211121012221
41111033012100110
510412041134030
6353522152124
750302656562
oct12517062024
93618747187
101430021140
11674234059
1233aab2644
1319a360272
14d7cc8a32
1585824e7a
hex553c6414

1430021140 has 48 divisors (see below), whose sum is σ = 3112678800. Its totient is φ = 551411712.

The previous prime is 1430021129. The next prime is 1430021141. The reversal of 1430021140 is 411200341.

It can be written as a sum of positive squares in 8 ways, for example, as 163942416 + 1266078724 = 12804^2 + 35582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430021141) 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 15 ways as a sum of consecutive naturals, for example, 71796 + ... + 89524.

It is an arithmetic number, because the mean of its divisors is an integer number (64847475).

Almost surely, 21430021140 is an apocalyptic number.

1430021140 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 1430021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556339400).

1430021140 is an abundant number, since it is smaller than the sum of its proper divisors (1682657660).

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

1430021140 is a wasteful number, since it uses less digits than its factorization.

1430021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17884 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1430021140 is about 37815.6203175355. The cubic root of 1430021140 is about 1126.6287230121.

Adding to 1430021140 its reverse (411200341), we get a palindrome (1841221481).

The spelling of 1430021140 in words is "one billion, four hundred thirty million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 2180 4033 8066 16132 17729 20165 35458 40330 70916 80660 88645 177290 354580 655973 1311946 1932461 2623892 3279865 3864922 6559730 7729844 9662305 13119460 19324610 38649220 71501057 143002114 286004228 357505285 715010570 1430021140