Search a number
-
+
83106387 = 327131747127
BaseRepresentation
bin1001111010000…
…01101001010011
312210101020112100
410331001221103
5132233401022
612125131443
72026251450
oct475015123
9183336470
1083106387
1142a03071
12239b9b83
13142aa2a0
14b074827
1574691ac
hex4f41a53

83106387 has 96 divisors (see below), whose sum is σ = 161021952. Its totient is φ = 40061952.

The previous prime is 83106377. The next prime is 83106391. The reversal of 83106387 is 78360138.

83106387 is a `hidden beast` number, since 8 + 3 + 10 + 638 + 7 = 666.

It is not a de Polignac number, because 83106387 - 28 = 83106131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83106307) 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, 654318 + ... + 654444.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 283106387 is an apocalyptic number.

83106387 is a deficient number, since it is larger than the sum of its proper divisors (77915565).

83106387 is a wasteful number, since it uses less digits than its factorization.

83106387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83106387 is about 9116.2704545225. The cubic root of 83106387 is about 436.3933601083.

The spelling of 83106387 in words is "eighty-three million, one hundred six thousand, three hundred eighty-seven".

Divisors: 1 3 7 9 13 17 21 39 47 51 63 91 117 119 127 141 153 221 273 329 357 381 423 611 663 799 819 889 987 1071 1143 1547 1651 1833 1989 2159 2397 2667 2961 4277 4641 4953 5499 5593 5969 6477 7191 8001 10387 11557 12831 13923 14859 15113 16779 17907 19431 28067 31161 34671 38493 41783 45339 50337 53721 72709 77597 84201 93483 101473 104013 125349 136017 196469 218127 232791 252603 304419 376047 543179 589407 654381 698373 710311 913257 1319149 1629537 1768221 2130933 3957447 4888611 6392799 9234043 11872341 27702129 83106387