Search a number
-
+
90081660 = 223519312549
BaseRepresentation
bin1010101111010…
…00100101111100
320021111121210210
411113220211330
5141030103120
612534432420
72142452514
oct527504574
9207447723
1090081660
1146937759
1226202710
1315880176
14bd6c844
157d95ce0
hex55e897c

90081660 has 96 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 22014720.

The previous prime is 90081631. The next prime is 90081671. The reversal of 90081660 is 6618009.

It is a super-2 number, since 2×900816602 = 16229410936711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34066 + ... + 36614.

It is an arithmetic number, because the mean of its divisors is an integer number (2856000).

Almost surely, 290081660 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 90081660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

90081660 is an abundant number, since it is smaller than the sum of its proper divisors (184094340).

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

90081660 is a wasteful number, since it uses less digits than its factorization.

90081660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90081660 is about 9491.1358645844. The cubic root of 90081660 is about 448.2759712807.

Adding to 90081660 its reverse (6618009), we get a palindrome (96699669).

The spelling of 90081660 in words is "ninety million, eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2549 2945 3534 5098 5890 7068 7647 8835 10196 11780 12745 15294 17670 25490 30588 35340 38235 48431 50980 76470 79019 96862 145293 152940 158038 193724 237057 242155 290586 316076 395095 474114 484310 581172 726465 790190 948228 968620 1185285 1452930 1501361 1580380 2370570 2905860 3002722 4504083 4741140 6005444 7506805 9008166 15013610 18016332 22520415 30027220 45040830 90081660