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9085140 = 22325172969
BaseRepresentation
bin100010101010…
…000011010100
3122002120110200
4202222003110
54311211030
6522420500
7140136201
oct42520324
918076420
109085140
115145889
123061730
131b6132c
1412c6ca8
15be6d60
hex8aa0d4

9085140 has 72 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 2279424.

The previous prime is 9085129. The next prime is 9085151. The reversal of 9085140 is 415809.

It is an interprime number because it is at equal distance from previous prime (9085129) and next prime (9085151).

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 8964036 = 348^2 + 2994^2 .

It is a congruent number.

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, 1576 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 29085140 is an apocalyptic number.

9085140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9085140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580).

9085140 is an abundant number, since it is smaller than the sum of its proper divisors (20104020).

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

9085140 is a wasteful number, since it uses less digits than its factorization.

9085140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9085140 is about 3014.1565984534. The cubic root of 9085140 is about 208.6622445392.

The spelling of 9085140 in words is "nine million, eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2969 3060 5938 8907 11876 14845 17814 26721 29690 35628 44535 50473 53442 59380 89070 100946 106884 133605 151419 178140 201892 252365 267210 302838 454257 504730 534420 605676 757095 908514 1009460 1514190 1817028 2271285 3028380 4542570 9085140