Search a number
-
+
1050030140 = 225311918867
BaseRepresentation
bin111110100101100…
…011000000111100
32201011211001120012
4332211203000330
54122301431030
6252105442352
735010052235
oct7645430074
92634731505
101050030140
11499795205
122537a03b8
13139706213
149d65208c
15622b5095
hex3e96303c

1050030140 has 48 divisors (see below), whose sum is σ = 2288369664. Its totient is φ = 404289600.

The previous prime is 1050030133. The next prime is 1050030167. The reversal of 1050030140 is 410300501.

1050030140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500301402 = 2205126589816839200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113987 + ... + 122853.

It is an arithmetic number, because the mean of its divisors is an integer number (47674368).

Almost surely, 21050030140 is an apocalyptic number.

1050030140 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 1050030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144184832).

1050030140 is an abundant number, since it is smaller than the sum of its proper divisors (1238339524).

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

1050030140 is a wasteful number, since it uses less digits than its factorization.

1050030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1050030140 is about 32404.1685589987. The cubic root of 1050030140 is about 1016.4060818603.

Adding to 1050030140 its reverse (410300501), we get a palindrome (1460330641).

The spelling of 1050030140 in words is "one billion, fifty million, thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 955 1910 3820 5921 8867 11842 17734 23684 29605 35468 44335 59210 88670 118420 177340 274877 549754 1099508 1374385 1693597 2748770 3387194 5497540 6774388 8467985 16935970 33871940 52501507 105003014 210006028 262507535 525015070 1050030140