Search a number
-
+
1061882980 = 2253710713411
BaseRepresentation
bin111111010010110…
…000110001100100
32202000010020121021
4333102300301210
54133320223410
6253211500524
735212566514
oct7722606144
92660106537
101061882980
114a5450444
12257757744
1313bcc6232
14a1059844
1563356eda
hex3f4b0c64

1061882980 has 48 divisors (see below), whose sum is σ = 2311799616. Its totient is φ = 409380480.

The previous prime is 1061882977. The next prime is 1061882981. The reversal of 1061882980 is 892881601.

1061882980 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 2×10618829802 = 2255190926427360800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061882981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72475 + ... + 85885.

It is an arithmetic number, because the mean of its divisors is an integer number (48162492).

Almost surely, 21061882980 is an apocalyptic number.

1061882980 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 1061882980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155899808).

1061882980 is an abundant number, since it is smaller than the sum of its proper divisors (1249916636).

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

1061882980 is a wasteful number, since it uses less digits than its factorization.

1061882980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The square root of 1061882980 is about 32586.5459967760. The cubic root of 1061882980 is about 1020.2162107343.

The spelling of 1061882980 in words is "one billion, sixty-one million, eight hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 107 148 185 214 370 428 535 740 1070 2140 3959 7918 13411 15836 19795 26822 39590 53644 67055 79180 134110 268220 496207 992414 1434977 1984828 2481035 2869954 4962070 5739908 7174885 9924140 14349770 28699540 53094149 106188298 212376596 265470745 530941490 1061882980