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93320305 = 5131924197
BaseRepresentation
bin1011000111111…
…11010001110001
320111121011101121
411203333101301
5142342222210
613132102241
72212131601
oct543772161
9214534347
1093320305
1148749a21
1227304981
1316445320
14c572c01
1582d56da
hex58ff471

93320305 has 48 divisors (see below), whose sum is σ = 131728464. Its totient is φ = 63037440.

The previous prime is 93320299. The next prime is 93320321. The reversal of 93320305 is 50302339.

93320305 = T214 + T215 + ... + T828.

It can be written as a sum of positive squares in 8 ways, for example, as 27499536 + 65820769 = 5244^2 + 8113^2 .

It is not a de Polignac number, because 93320305 - 25 = 93320273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93320305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962017 + ... + 962113.

It is an arithmetic number, because the mean of its divisors is an integer number (2744343).

Almost surely, 293320305 is an apocalyptic number.

93320305 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

93320305 is a deficient number, since it is larger than the sum of its proper divisors (38408159).

93320305 is a wasteful number, since it uses less digits than its factorization.

93320305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 93320305 is about 9660.2435269511. The cubic root of 93320305 is about 453.5850338957.

The spelling of 93320305 in words is "ninety-three million, three hundred twenty thousand, three hundred five".

Divisors: 1 5 13 19 41 65 95 97 205 247 361 485 533 779 1235 1261 1805 1843 2665 3895 3977 4693 6305 9215 10127 14801 19885 23465 23959 35017 50635 51701 74005 75563 119795 175085 192413 258505 377815 455221 962065 982319 1435697 2276105 4911595 7178485 18664061 93320305