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8300097 = 3313217107
BaseRepresentation
bin11111101010011001000001
3120121200121000
4133222121001
54111100342
6453522213
7130356351
oct37523101
916550530
108300097
114759a93
122943369
131947c00
141160b61
15ade44c
hex7ea641

8300097 has 48 divisors (see below), whose sum is σ = 14230080. Its totient is φ = 4762368.

The previous prime is 8300077. The next prime is 8300101. The reversal of 8300097 is 7900038.

It is a happy number.

It is not a de Polignac number, because 8300097 - 27 = 8299969 is a prime.

It is a super-2 number, since 2×83000972 = 137783220418818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8300097.

It is not an unprimeable number, because it can be changed into a prime (8300057) 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, 77518 + ... + 77624.

It is an arithmetic number, because the mean of its divisors is an integer number (296460).

Almost surely, 28300097 is an apocalyptic number.

It is an amenable number.

8300097 is a deficient number, since it is larger than the sum of its proper divisors (5929983).

8300097 is a wasteful number, since it uses less digits than its factorization.

8300097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 8300097 is about 2880.9888927242. The cubic root of 8300097 is about 202.4701739336.

The spelling of 8300097 in words is "eight million, three hundred thousand, ninety-seven".

Divisors: 1 3 9 13 17 27 39 51 107 117 153 169 221 321 351 459 507 663 963 1391 1521 1819 1989 2873 2889 4173 4563 5457 5967 8619 12519 16371 18083 23647 25857 37557 49113 54249 70941 77571 162747 212823 307411 488241 638469 922233 2766699 8300097