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1007052 = 22383921
BaseRepresentation
bin11110101110111001100
31220011102020
43311313030
5224211202
633330140
711363004
oct3656714
91804366
101007052
11628682
12406950
132934b7
141c3004
1514d5bc
hexf5dcc

1007052 has 12 divisors (see below), whose sum is σ = 2349816. Its totient is φ = 335680.

The previous prime is 1007047. The next prime is 1007059. The reversal of 1007052 is 2507001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (1007059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41949 + ... + 41972.

It is an arithmetic number, because the mean of its divisors is an integer number (195818).

21007052 is an apocalyptic number.

1007052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007052 is an abundant number, since it is smaller than the sum of its proper divisors (1342764).

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

1007052 is a wasteful number, since it uses less digits than its factorization.

1007052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83928 (or 83926 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1007052 is about 1003.5198054847. The cubic root of 1007052 is about 100.2345162580.

The spelling of 1007052 in words is "one million, seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 83921 167842 251763 335684 503526 1007052