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82706910 = 235111321483
BaseRepresentation
bin1001110111000…
…00000111011110
312202121221112220
410323200013132
5132133110120
612112410210
72022666006
oct473400736
9182557486
1082706910
114275aa20
1223846966
131419a500
14adad006
1573dab40
hex4ee01de

82706910 has 96 divisors (see below), whose sum is σ = 234638208. Its totient is φ = 18495360.

The previous prime is 82706903. The next prime is 82706929. The reversal of 82706910 is 1960728.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 55029 + ... + 56511.

It is an arithmetic number, because the mean of its divisors is an integer number (2444148).

Almost surely, 282706910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82706910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117319104).

82706910 is an abundant number, since it is smaller than the sum of its proper divisors (151931298).

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

82706910 is a wasteful number, since it uses less digits than its factorization.

82706910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 82706910 is about 9094.3339503231. Note that the first 3 decimals coincide. The cubic root of 82706910 is about 435.6930160974.

The spelling of 82706910 in words is "eighty-two million, seven hundred six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1483 1690 1859 2145 2535 2966 3718 4290 4449 5070 5577 7415 8898 9295 11154 14830 16313 18590 19279 22245 27885 32626 38558 44490 48939 55770 57837 81565 96395 97878 115674 163130 192790 212069 244695 250627 289185 424138 489390 501254 578370 636207 751881 1060345 1253135 1272414 1503762 2120690 2506270 2756897 3181035 3759405 5513794 6362070 7518810 8270691 13784485 16541382 27568970 41353455 82706910