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899310132 = 2232721729989
BaseRepresentation
bin110101100110100…
…110001000110100
32022200012200120200
4311212212020310
53320210411012
6225123200500
731200003300
oct6546461064
92280180520
10899310132
11421701016
12211216130
13114414696
148761ad00
1553e423dc
hex359a6234

899310132 has 108 divisors (see below), whose sum is σ = 2800046340. Its totient is φ = 241823232.

The previous prime is 899310131. The next prime is 899310157. The reversal of 899310132 is 231013998.

It can be written as a sum of positive squares in 2 ways, for example, as 738426276 + 160883856 = 27174^2 + 12684^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899310131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14994 + ... + 44982.

It is an arithmetic number, because the mean of its divisors is an integer number (25926355).

Almost surely, 2899310132 is an apocalyptic number.

It is a pronic number, being equal to 29988×29989.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 899310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400023170).

899310132 is an abundant number, since it is smaller than the sum of its proper divisors (1900736208).

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

899310132 is a wasteful number, since it uses less digits than its factorization.

899310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030 (or 30018 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 899310132 is about 29988.4999958317. The cubic root of 899310132 is about 965.2426325737.

The spelling of 899310132 in words is "eight hundred ninety-nine million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 29989 59978 89967 119956 179934 209923 269901 359868 419846 509813 539802 629769 839692 1019626 1079604 1259538 1469461 1529439 1889307 2039252 2519076 2938922 3058878 3568691 3778614 4408383 4588317 5877844 6117756 7137382 7557228 8816766 9176634 10706073 13225149 14274764 17633532 18353268 21412146 24980837 26450298 32118219 42824292 49961674 52900596 64236438 74942511 99923348 128472876 149885022 224827533 299770044 449655066 899310132