Search a number
-
+
9007050 = 23521331149
BaseRepresentation
bin100010010110…
…111111001010
3121221121100110
4202112333022
54301211200
6521015150
7136362423
oct42267712
917847313
109007050
1150a2148
1230244b6
131b34920
1412a664a
15bcdb50
hex896fca

9007050 has 96 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2131200.

The previous prime is 9007049. The next prime is 9007051. The reversal of 9007050 is 507009.

It is an interprime number because it is at equal distance from previous prime (9007049) and next prime (9007051).

It is a super-2 number, since 2×90070502 = 162253899405000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9007051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60376 + ... + 60524.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 29007050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

9007050 is an abundant number, since it is smaller than the sum of its proper divisors (15991350).

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

9007050 is a wasteful number, since it uses less digits than its factorization.

9007050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 9007050 is about 3001.1747699859. The cubic root of 9007050 is about 208.0626814294.

The spelling of 9007050 in words is "nine million, seven thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 149 150 155 186 195 298 310 325 390 403 447 465 650 745 775 806 894 930 975 1209 1490 1550 1937 1950 2015 2235 2325 2418 3725 3874 4030 4470 4619 4650 5811 6045 7450 9238 9685 10075 11175 11622 12090 13857 19370 20150 22350 23095 27714 29055 30225 46190 48425 58110 60047 60450 69285 96850 115475 120094 138570 145275 180141 230950 290550 300235 346425 360282 600470 692850 900705 1501175 1801410 3002350 4503525 9007050