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83328102 = 23511213109
BaseRepresentation
bin1001111011101…
…11110001100110
312210210111200000
410331313301212
5132312444402
612134002130
72031164034
oct475676146
9183714600
1083328102
1143044700
1223aa6346
1314357190
14b0d1554
1574aec1c
hex4f77c66

83328102 has 144 divisors (see below), whose sum is σ = 223663440. Its totient is φ = 23094720.

The previous prime is 83328083. The next prime is 83328127. The reversal of 83328102 is 20182338.

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

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 71 ways as a sum of consecutive naturals, for example, 764424 + ... + 764532.

Almost surely, 283328102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83328102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111831720).

83328102 is an abundant number, since it is smaller than the sum of its proper divisors (140335338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83328102 is a wasteful number, since it uses less digits than its factorization.

83328102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83328102 is about 9128.4227553285. The cubic root of 83328102 is about 436.7810921957.

The spelling of 83328102 in words is "eighty-three million, three hundred twenty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 109 117 121 143 162 198 218 234 242 243 286 297 327 351 363 429 486 594 654 702 726 858 891 981 1053 1089 1199 1287 1417 1573 1782 1962 2106 2178 2398 2574 2673 2834 2943 3146 3159 3267 3597 3861 4251 4719 5346 5886 6318 6534 7194 7722 8502 8829 9438 9801 10791 11583 12753 13189 14157 15587 17658 19602 21582 23166 25506 26378 26487 28314 29403 31174 32373 34749 38259 39567 42471 46761 52974 58806 64746 69498 76518 79134 84942 93522 97119 114777 118701 127413 140283 171457 194238 229554 237402 254826 280566 291357 342914 344331 356103 382239 420849 514371 582714 688662 712206 764478 841698 1028742 1068309 1262547 1543113 2136618 2525094 3086226 3204927 3787641 4629339 6409854 7575282 9258678 13888017 27776034 41664051 83328102