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1060056012 = 2231736714159
BaseRepresentation
bin111111001011110…
…010101111001100
32201212200102110210
4333023302233030
54132333243022
6253104402420
735161220211
oct7713625714
92655612423
101060056012
114a4412854
12257016410
1313b8067a2
14a0b01b08
15630e5a0c
hex3f2f2bcc

1060056012 has 48 divisors (see below), whose sum is σ = 2626283520. Its totient is φ = 331636992.

The previous prime is 1060056007. The next prime is 1060056013. The reversal of 1060056012 is 2106500601.

It is a happy number.

It is a super-2 number, since 2×10600560122 = 2247437497154688288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1060056012.

It is not an unprimeable number, because it can be changed into a prime (1060056013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67789 + ... + 81947.

It is an arithmetic number, because the mean of its divisors is an integer number (54714240).

Almost surely, 21060056012 is an apocalyptic number.

1060056012 is a gapful number since it is divisible by the number (12) 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 1060056012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313141760).

1060056012 is an abundant number, since it is smaller than the sum of its proper divisors (1566227508).

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

1060056012 is a wasteful number, since it uses less digits than its factorization.

1060056012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14548 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1060056012 is about 32558.5013782883. The cubic root of 1060056012 is about 1019.6307813994.

Adding to 1060056012 its reverse (2106500601), we get a palindrome (3166556613).

The spelling of 1060056012 in words is "one billion, sixty million, fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 367 734 1101 1468 2202 4404 6239 12478 14159 18717 24956 28318 37434 42477 56636 74868 84954 169908 240703 481406 722109 962812 1444218 2888436 5196353 10392706 15589059 20785412 31178118 62356236 88338001 176676002 265014003 353352004 530028006 1060056012