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1000055364 = 2237112347057
BaseRepresentation
bin111011100110111…
…010001001000100
32120200210002001120
4323212322021010
54022003232424
6243122353540
733532221210
oct7346721104
92520702046
101000055364
11473561440
1223aabb8b0
1312c259449
1496b63940
155cbe2a79
hex3b9ba244

1000055364 has 96 divisors (see below), whose sum is σ = 3035805696. Its totient is φ = 248455680.

The previous prime is 1000055363. The next prime is 1000055393. The reversal of 1000055364 is 4635500001.

1000055364 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 2×10000553642 = 2000221462130344992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000055363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277 + ... + 44780.

It is an arithmetic number, because the mean of its divisors is an integer number (31622976).

Almost surely, 21000055364 is an apocalyptic number.

1000055364 is a gapful number since it is divisible by the number (14) 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 1000055364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517902848).

1000055364 is an abundant number, since it is smaller than the sum of its proper divisors (2035750332).

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

1000055364 is a wasteful number, since it uses less digits than its factorization.

1000055364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47105 (or 47103 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1000055364 is about 31623.6519712699. The cubic root of 1000055364 is about 1000.0184543261.

Adding to 1000055364 its reverse (4635500001), we get a palindrome (5635555365).

The spelling of 1000055364 in words is "one billion, fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 21252 47057 94114 141171 188228 282342 329399 517627 564684 658798 988197 1035254 1082311 1317596 1552881 1976394 2070508 2164622 3105762 3246933 3623389 3952788 4329244 6211524 6493866 7246778 7576177 10870167 11905421 12987732 14493556 15152354 21740334 22728531 23810842 30304708 35716263 43480668 45457062 47621684 71432526 83337947 90914124 142865052 166675894 250013841 333351788 500027682 1000055364