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1398493107 = 34113759719
BaseRepresentation
bin101001101011011…
…0100111110110011
310121110111210220000
41103112310332303
510331003234412
6350434321043
746440665244
oct12326647663
93543453800
101398493107
1165845a630
12330429183
1319397191b
14d3a3cccb
1582b984dc
hex535b4fb3

1398493107 has 80 divisors (see below), whose sum is σ = 2383603200. Its totient is φ = 809559360.

The previous prime is 1398493099. The next prime is 1398493121. The reversal of 1398493107 is 7013948931.

It is not a de Polignac number, because 1398493107 - 23 = 1398493099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1398493007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1944694 + ... + 1945412.

It is an arithmetic number, because the mean of its divisors is an integer number (29795040).

Almost surely, 21398493107 is an apocalyptic number.

1398493107 is a deficient number, since it is larger than the sum of its proper divisors (985110093).

1398493107 is a wasteful number, since it uses less digits than its factorization.

1398493107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1398493107 is about 37396.4317415445. The cubic root of 1398493107 is about 1118.2874302442.

The spelling of 1398493107 in words is "one billion, three hundred ninety-eight million, four hundred ninety-three thousand, one hundred seven".

Divisors: 1 3 9 11 27 33 37 59 81 99 111 177 297 333 407 531 649 719 891 999 1221 1593 1947 2157 2183 2997 3663 4779 5841 6471 6549 7909 10989 17523 19413 19647 23727 24013 26603 32967 42421 52569 58239 58941 71181 72039 79809 127263 176823 213543 216117 239427 292633 381789 466631 640629 648351 718281 877899 1145367 1399893 1569577 1945053 2154843 2633697 3436101 4199679 4708731 7901091 12599037 14126193 17265347 23703273 37797111 42378579 51796041 127135737 155388123 466164369 1398493107