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1054053006 = 231719543887
BaseRepresentation
bin111110110100111…
…001001010001110
32201110101102220020
4332310321022032
54124314144011
6252332003010
735056205556
oct7664711216
92643342806
101054053006
114a0a92696
12255000466
1313a4b4306
149ddbc166
156280c006
hex3ed3928e

1054053006 has 32 divisors (see below), whose sum is σ = 2349596160. Its totient is φ = 313278336.

The previous prime is 1054052983. The next prime is 1054053017. The reversal of 1054053006 is 6003504501.

It is a super-2 number, since 2×10540530062 = 2222055478915272072, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270006 + ... + 273881.

It is an arithmetic number, because the mean of its divisors is an integer number (73424880).

Almost surely, 21054053006 is an apocalyptic number.

1054053006 is an abundant number, since it is smaller than the sum of its proper divisors (1295543154).

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

1054053006 is a wasteful number, since it uses less digits than its factorization.

1054053006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543928.

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

The square root of 1054053006 is about 32466.1824981010. The cubic root of 1054053006 is about 1017.7024430020.

Adding to 1054053006 its reverse (6003504501), we get a palindrome (7057557507).

It can be divided in two parts, 10540 and 53006, that added together give a triangular number (63546 = T356).

The spelling of 1054053006 in words is "one billion, fifty-four million, fifty-three thousand, six".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 969 1938 543887 1087774 1631661 3263322 9246079 10333853 18492158 20667706 27738237 31001559 55476474 62003118 175675501 351351002 527026503 1054053006