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83299905 = 325132341151
BaseRepresentation
bin1001111011100…
…00111001000001
312210202001222200
410331300321001
5132311044110
612133223413
72031015603
oct475607101
9183661880
1083299905
11430254a7
1223a91b69
13143473b0
14b0c5173
1574a66c0
hex4f70e41

83299905 has 96 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 38016000.

The previous prime is 83299903. The next prime is 83299927. The reversal of 83299905 is 50999238.

It is not a de Polignac number, because 83299905 - 21 = 83299903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83299903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551580 + ... + 551730.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 283299905 is an apocalyptic number.

It is an amenable number.

83299905 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

83299905 is a wasteful number, since it uses less digits than its factorization.

83299905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 83299905 is about 9126.8781628769. The cubic root of 83299905 is about 436.7318198790.

The spelling of 83299905 in words is "eighty-three million, two hundred ninety-nine thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 23 39 41 45 65 69 115 117 123 151 195 205 207 299 345 369 453 533 585 615 755 897 943 1035 1359 1495 1599 1845 1963 2265 2665 2691 2829 3473 4485 4715 4797 5889 6191 6795 7995 8487 9815 10419 12259 13455 14145 17365 17667 18573 23985 29445 30955 31257 36777 42435 45149 52095 55719 61295 80483 88335 92865 110331 135447 142393 156285 183885 225745 241449 278595 402415 406341 427179 551655 677235 711965 724347 1207245 1281537 1851109 2031705 2135895 3621735 5553327 6407685 9255545 16659981 27766635 83299905