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1056061146 = 237235320627
BaseRepresentation
bin111110111100100…
…011011011011010
32201121011110112210
4332330203123122
54130322424041
6252443015550
735112241320
oct7674433332
92647143483
101056061146
114a2134408
1225580a5b6
1313aa3836a
14a0381d10
1562aa7016
hex3ef236da

1056061146 has 64 divisors (see below), whose sum is σ = 2566453248. Its totient is φ = 283153728.

The previous prime is 1056061121. The next prime is 1056061229. The reversal of 1056061146 is 6411606501.

It is a super-3 number, since 3×10560611463 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 40885 + ... + 61511.

It is an arithmetic number, because the mean of its divisors is an integer number (40100832).

Almost surely, 21056061146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056061146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283226624).

1056061146 is an abundant number, since it is smaller than the sum of its proper divisors (1510392102).

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

1056061146 is a wasteful number, since it uses less digits than its factorization.

1056061146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20715.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1056061146 is about 32497.0944239635. The cubic root of 1056061146 is about 1018.3483284531.

Adding to 1056061146 its reverse (6411606501), we get a palindrome (7467667647).

The spelling of 1056061146 in words is "one billion, fifty-six million, sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 53 69 106 138 159 161 318 322 371 483 742 966 1113 1219 2226 2438 3657 7314 8533 17066 20627 25599 41254 51198 61881 123762 144389 288778 433167 474421 866334 948842 1093231 1423263 2186462 2846526 3279693 3320947 6559386 6641894 7652617 9962841 15305234 19925682 22957851 25144313 45915702 50288626 75432939 150865878 176010191 352020382 528030573 1056061146