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1006714107 = 327193132687
BaseRepresentation
bin111100000000010…
…011110011111011
32121011022101010200
4330000103303323
54030204322412
6243521213243
733642633360
oct7400236373
92534271120
101006714107
1147729a233
12241191223
1313074b229
14979b8467
155d5aa9dc
hex3c013cfb

1006714107 has 48 divisors (see below), whose sum is σ = 1755586560. Its totient is φ = 543044736.

The previous prime is 1006714097. The next prime is 1006714129. The reversal of 1006714107 is 7014176001.

It is not a de Polignac number, because 1006714107 - 26 = 1006714043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006714147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373318 + ... + 376004.

It is an arithmetic number, because the mean of its divisors is an integer number (36574720).

Almost surely, 21006714107 is an apocalyptic number.

1006714107 is a deficient number, since it is larger than the sum of its proper divisors (748872453).

1006714107 is a wasteful number, since it uses less digits than its factorization.

1006714107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1006714107 is about 31728.7583589399. The cubic root of 1006714107 is about 1002.2330454629.

The spelling of 1006714107 in words is "one billion, six million, seven hundred fourteen thousand, one hundred seven".

Divisors: 1 3 7 9 19 21 57 63 133 171 313 399 939 1197 2191 2687 2817 5947 6573 8061 17841 18809 19719 24183 41629 51053 53523 56427 124887 153159 169281 357371 374661 459477 841031 1072113 2523093 3216339 5887217 7569279 15979589 17661651 47938767 52984953 111857123 143816301 335571369 1006714107