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1006214314 = 27210267493
BaseRepresentation
bin111011111110011…
…001110010101010
32121010100222112211
4323332121302222
54030042324224
6243502355334
733635452300
oct7376316252
92533328484
101006214314
11476a88786
12240b8bb4a
131306048b1
14978c8270
155d50c894
hex3bf99caa

1006214314 has 12 divisors (see below), whose sum is σ = 1755741474. Its totient is φ = 431234664.

The previous prime is 1006214299. The next prime is 1006214329. The reversal of 1006214314 is 4134126001.

It is an interprime number because it is at equal distance from previous prime (1006214299) and next prime (1006214329).

It can be written as a sum of positive squares in only one way, i.e., 983888689 + 22325625 = 31367^2 + 4725^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5133649 + ... + 5133844.

Almost surely, 21006214314 is an apocalyptic number.

1006214314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1006214314 is a deficient number, since it is larger than the sum of its proper divisors (749527160).

1006214314 is a wasteful number, since it uses less digits than its factorization.

1006214314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267509 (or 10267502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1006214314 is about 31720.8813559775. The cubic root of 1006214314 is about 1002.0671618973.

The spelling of 1006214314 in words is "one billion, six million, two hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 7 14 49 98 10267493 20534986 71872451 143744902 503107157 1006214314