[go: up one dir, main page]

Search a number
-
+
1056611540 = 225174397079
BaseRepresentation
bin111110111110101…
…001110011010100
32201122012102112202
4332332221303110
54130443032130
6252502504032
735120023055
oct7676516324
92648172482
101056611540
114a247a986
12255a35018
1313ab9ba3a
14a048672c
1562b65145
hex3efa9cd4

1056611540 has 48 divisors (see below), whose sum is σ = 2355091200. Its totient is φ = 396820992.

The previous prime is 1056611537. The next prime is 1056611581. The reversal of 1056611540 is 451166501.

It is a super-2 number, since 2×10566115402 = 2232855892922343200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145721 + ... + 152799.

It is an arithmetic number, because the mean of its divisors is an integer number (49064400).

Almost surely, 21056611540 is an apocalyptic number.

1056611540 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 1056611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177545600).

1056611540 is an abundant number, since it is smaller than the sum of its proper divisors (1298479660).

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

1056611540 is a wasteful number, since it uses less digits than its factorization.

1056611540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1056611540 is about 32505.5616779652. The cubic root of 1056611540 is about 1018.5252107193.

The spelling of 1056611540 in words is "one billion, fifty-six million, six hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 439 878 1756 2195 4390 7079 7463 8780 14158 14926 28316 29852 35395 37315 70790 74630 120343 141580 149260 240686 481372 601715 1203430 2406860 3107681 6215362 12430724 15538405 31076810 52830577 62153620 105661154 211322308 264152885 528305770 1056611540