Search a number
-
+
83660706 = 232172311887
BaseRepresentation
bin1001111110010…
…00111110100010
312211102101220200
410333020332202
5132404120311
612145050030
72034050523
oct477107642
9184371820
1083660706
1143251588
1224026916
131444269c
14b17a84a
157528556
hex4fc8fa2

83660706 has 48 divisors (see below), whose sum is σ = 200289024. Its totient is φ = 25103232.

The previous prime is 83660693. The next prime is 83660711. The reversal of 83660706 is 60706638.

It is a happy number.

It is a super-2 number, since 2×836607062 = 13998227456836872, which contains 22 as substring.

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, 1095 + ... + 12981.

It is an arithmetic number, because the mean of its divisors is an integer number (4172688).

Almost surely, 283660706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83660706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100144512).

83660706 is an abundant number, since it is smaller than the sum of its proper divisors (116628318).

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

83660706 is a wasteful number, since it uses less digits than its factorization.

83660706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11932 counting only the distinct ones).

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

The square root of 83660706 is about 9146.6226553849. The cubic root of 83660706 is about 437.3614577382.

The spelling of 83660706 in words is "eighty-three million, six hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 11887 23774 35661 71322 106983 202079 213966 273401 404158 546802 606237 820203 1212474 1640406 1818711 2460609 3637422 4647817 4921218 9295634 13943451 27886902 41830353 83660706