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1052010126 = 233191025351
BaseRepresentation
bin111110101101000…
…110011010001110
32201022112122121000
4332231012122032
54123303311001
6252220121130
735032636626
oct7655063216
92638478530
101052010126
1149a917862
122543961a6
13139c4a4cb
149da09886
1562556a86
hex3eb4668e

1052010126 has 32 divisors (see below), whose sum is σ = 2460844800. Its totient is φ = 332213400.

The previous prime is 1052010109. The next prime is 1052010139. The reversal of 1052010126 is 6210102501.

1052010126 is a `hidden beast` number, since 10 + 520 + 10 + 126 = 666.

It is a super-3 number, since 3×10520101263 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1052010099 and 1052010108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511650 + ... + 513701.

It is an arithmetic number, because the mean of its divisors is an integer number (76901400).

Almost surely, 21052010126 is an apocalyptic number.

1052010126 is an abundant number, since it is smaller than the sum of its proper divisors (1408834674).

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

1052010126 is a wasteful number, since it uses less digits than its factorization.

1052010126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025381 (or 1025375 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1052010126 is about 32434.7055790553. The cubic root of 1052010126 is about 1017.0445416922.

Adding to 1052010126 its reverse (6210102501), we get a palindrome (7262112627).

The spelling of 1052010126 in words is "one billion, fifty-two million, ten thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1025351 2050702 3076053 6152106 9228159 18456318 19481669 27684477 38963338 55368954 58445007 116890014 175335021 350670042 526005063 1052010126