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83660076 = 223253163269
BaseRepresentation
bin1001111110010…
…00110100101100
312211102101001100
410333020310230
5132404110301
612145043100
72034045633
oct477106454
9184371040
1083660076
1143251065
1224026490
1314442306
14b17a51a
157528286
hex4fc8d2c

83660076 has 72 divisors (see below), whose sum is σ = 217591920. Its totient is φ = 27091584.

The previous prime is 83660051. The next prime is 83660113. The reversal of 83660076 is 67006638.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83660076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310870 + ... + 311138.

It is an arithmetic number, because the mean of its divisors is an integer number (3022110).

Almost surely, 283660076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83660076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108795960).

83660076 is an abundant number, since it is smaller than the sum of its proper divisors (133931844).

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

83660076 is a wasteful number, since it uses less digits than its factorization.

83660076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 83660076 is about 9146.5882163788. The cubic root of 83660076 is about 437.3603598974.

The spelling of 83660076 in words is "eighty-three million, six hundred sixty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 163 212 269 318 326 477 489 538 636 652 807 954 978 1076 1467 1614 1908 1956 2421 2934 3228 4842 5868 8639 9684 14257 17278 25917 28514 34556 42771 43847 51834 57028 77751 85542 87694 103668 128313 131541 155502 171084 175388 256626 263082 311004 394623 513252 526164 789246 1578492 2323891 4647782 6971673 9295564 13943346 20915019 27886692 41830038 83660076