Search a number
-
+
90603900 = 223352231459
BaseRepresentation
bin1010110011010…
…00000101111100
320022111011012000
411121220011330
5141143311100
612553542300
72150056212
oct531500574
9208434160
1090603900
1147164062
1226414990
1315a03a9a
14c066cb2
157e4a900
hex566817c

90603900 has 144 divisors (see below), whose sum is σ = 304147200. Its totient is φ = 23094720.

The previous prime is 90603889. The next prime is 90603901. The reversal of 90603900 is 930609.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90603901) 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, 61371 + ... + 62829.

Almost surely, 290603900 is an apocalyptic number.

90603900 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 90603900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

90603900 is an abundant number, since it is smaller than the sum of its proper divisors (213543300).

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

90603900 is a wasteful number, since it uses less digits than its factorization.

90603900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90603900 is about 9518.6080915226. The cubic root of 90603900 is about 449.1405819351.

The spelling of 90603900 in words is "ninety million, six hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1459 1725 2070 2300 2484 2700 2918 3105 3450 4140 4377 5175 5836 6210 6900 7295 8754 10350 12420 13131 14590 15525 17508 20700 21885 26262 29180 31050 33557 36475 39393 43770 52524 62100 65655 67114 72950 78786 87540 100671 109425 131310 134228 145900 157572 167785 196965 201342 218850 262620 302013 328275 335570 393930 402684 437700 503355 604026 656550 671140 787860 838925 906039 984825 1006710 1208052 1313100 1510065 1677850 1812078 1969650 2013420 2516775 3020130 3355700 3624156 3939300 4530195 5033550 6040260 7550325 9060390 10067100 15100650 18120780 22650975 30201300 45301950 90603900