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1005880117 = 11684113367
BaseRepresentation
bin111011111101001…
…000001100110101
32121002202000010011
4323331020030311
54030001130432
6243451300221
733632561044
oct7375101465
92532660104
101005880117
1147687a690
12240a4a671
13130518748
149783c55b
155d493847
hex3bf48335

1005880117 has 8 divisors (see below), whose sum is σ = 1097566272. Its totient is φ = 914234400.

The previous prime is 1005880111. The next prime is 1005880129. The reversal of 1005880117 is 7110885001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005880117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005880111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68568 + ... + 81934.

It is an arithmetic number, because the mean of its divisors is an integer number (137195784).

Almost surely, 21005880117 is an apocalyptic number.

It is an amenable number.

1005880117 is a deficient number, since it is larger than the sum of its proper divisors (91686155).

1005880117 is a wasteful number, since it uses less digits than its factorization.

1005880117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20219.

The product of its (nonzero) digits is 2240, while the sum is 31.

The square root of 1005880117 is about 31715.6131424256. The cubic root of 1005880117 is about 1001.9562097481.

The spelling of 1005880117 in words is "one billion, five million, eight hundred eighty thousand, one hundred seventeen".

Divisors: 1 11 6841 13367 75251 147037 91443647 1005880117