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1006301052 = 223279353833
BaseRepresentation
bin111011111110101…
…110111101111100
32121010112101112100
4323332232331330
54030103113202
6243504305100
733636263211
oct7376567574
92533471470
101006301052
11477037969
12241012190
13130635213
149790bb08
155d52841c
hex3bfaef7c

1006301052 has 36 divisors (see below), whose sum is σ = 2575911520. Its totient is φ = 331186752.

The previous prime is 1006301027. The next prime is 1006301057. The reversal of 1006301052 is 2501036001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006301057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174073 + ... + 179760.

Almost surely, 21006301052 is an apocalyptic number.

1006301052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006301052 is an abundant number, since it is smaller than the sum of its proper divisors (1569610468).

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

1006301052 is a wasteful number, since it uses less digits than its factorization.

1006301052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353922 (or 353917 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1006301052 is about 31722.2485331667. The cubic root of 1006301052 is about 1002.0959545719.

Adding to 1006301052 its reverse (2501036001), we get a palindrome (3507337053).

The spelling of 1006301052 in words is "one billion, six million, three hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 353833 707666 1061499 1415332 2122998 3184497 4245996 6368994 12737988 27952807 55905614 83858421 111811228 167716842 251575263 335433684 503150526 1006301052