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1006399537 = 111317594001
BaseRepresentation
bin111011111111000…
…111000000110001
32121010201101121221
4323333013000301
54030114241122
6243510345041
733640153303
oct7377070061
92533641557
101006399537
114770a4960
1224105b181
1313066acb0
1497935973
155d5476c7
hex3bfc7031

1006399537 has 16 divisors (see below), whose sum is σ = 1183311360. Its totient is φ = 843840000.

The previous prime is 1006399517. The next prime is 1006399553. The reversal of 1006399537 is 7359936001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1006399537 - 211 = 1006397489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006399493 and 1006399502.

It is not an unprimeable number, because it can be changed into a prime (1006399517) 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 15 ways as a sum of consecutive naturals, for example, 249537 + ... + 253537.

It is an arithmetic number, because the mean of its divisors is an integer number (73956960).

Almost surely, 21006399537 is an apocalyptic number.

It is an amenable number.

1006399537 is a deficient number, since it is larger than the sum of its proper divisors (176911823).

1006399537 is a wasteful number, since it uses less digits than its factorization.

1006399537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784.

The product of its (nonzero) digits is 153090, while the sum is 43.

The square root of 1006399537 is about 31723.8007968780. The cubic root of 1006399537 is about 1002.1286446569.

The spelling of 1006399537 in words is "one billion, six million, three hundred ninety-nine thousand, five hundred thirty-seven".

Divisors: 1 11 13 143 1759 4001 19349 22867 44011 52013 251537 572143 7037759 77415349 91490867 1006399537