Search a number
-
+
87483330 = 23251197911
BaseRepresentation
bin1010011011011…
…10001111000010
320002121121120100
411031232033002
5134343431310
612403023230
72111411304
oct515561702
9202547510
1087483330
1145422580
122536ab16
13151805ac
14b893974
157a30ec0
hex536e3c2

87483330 has 96 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 20966400.

The previous prime is 87483311. The next prime is 87483397. The reversal of 87483330 is 3338478.

It is a Curzon 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, 95575 + ... + 96485.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 287483330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87483330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

87483330 is an abundant number, since it is smaller than the sum of its proper divisors (163484478).

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

87483330 is a wasteful number, since it uses less digits than its factorization.

87483330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 87483330 is about 9353.2523755109. The cubic root of 87483330 is about 443.9238060146.

The spelling of 87483330 in words is "eighty-seven million, four hundred eighty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 97 99 110 165 194 198 291 330 485 495 582 873 911 970 990 1067 1455 1746 1822 2134 2733 2910 3201 4365 4555 5335 5466 6402 8199 8730 9110 9603 10021 10670 13665 16005 16398 19206 20042 27330 30063 32010 40995 48015 50105 60126 81990 88367 90189 96030 100210 150315 176734 180378 265101 300630 441835 450945 530202 795303 883670 901890 972037 1325505 1590606 1944074 2651010 2916111 3976515 4860185 5832222 7953030 8748333 9720370 14580555 17496666 29161110 43741665 87483330