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249130135 = 52389101241
BaseRepresentation
bin11101101100101…
…10110010010111
3122100210010022001
432312112302113
51002234131020
640415420131
76113366632
oct1666266227
9570703261
10249130135
1111869a181
126b524647
133c7c97a7
1425130c19
1516d1150a
hexed96c97

249130135 has 32 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 185856000.

The previous prime is 249130111. The next prime is 249130151. The reversal of 249130135 is 531031942.

It is not a de Polignac number, because 249130135 - 217 = 248999063 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1033615 + ... + 1033855.

It is an arithmetic number, because the mean of its divisors is an integer number (9997020).

Almost surely, 2249130135 is an apocalyptic number.

249130135 is a deficient number, since it is larger than the sum of its proper divisors (70774505).

249130135 is a wasteful number, since it uses less digits than its factorization.

249130135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 249130135 is about 15783.8567847025. The cubic root of 249130135 is about 629.2290350777.

The spelling of 249130135 in words is "two hundred forty-nine million, one hundred thirty thousand, one hundred thirty-five".

Divisors: 1 5 23 89 101 115 241 445 505 1205 2047 2323 5543 8989 10235 11615 21449 24341 27715 44945 107245 121705 206747 493327 559843 1033735 2166349 2466635 2799215 10831745 49826027 249130135