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10090500 = 223537312
BaseRepresentation
bin100110011111…
…100000000100
3200222122120020
4212133200010
510040344000
61000135140
7151524240
oct46374004
920878506
1010090500
115772162
1234674b0
132123b14
1414a9420
15d44ba0
hex99f804

10090500 has 144 divisors (see below), whose sum is σ = 34699392. Its totient is φ = 2232000.

The previous prime is 10090499. The next prime is 10090517. The reversal of 10090500 is 509001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10090500.

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, 325485 + ... + 325515.

It is an arithmetic number, because the mean of its divisors is an integer number (240968).

Almost surely, 210090500 is an apocalyptic number.

10090500 is a gapful number since it is divisible by the number (10) 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 10090500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349696).

10090500 is an abundant number, since it is smaller than the sum of its proper divisors (24608892).

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

10090500 is a wasteful number, since it uses less digits than its factorization.

10090500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10090500 is about 3176.5547374475. The cubic root of 10090500 is about 216.0914393376.

Adding to 10090500 its reverse (509001), we get a palindrome (10599501).

The spelling of 10090500 in words is "ten million, ninety thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 125 140 150 155 175 186 210 217 250 300 310 350 372 375 420 434 465 500 525 620 651 700 750 775 868 875 930 961 1050 1085 1302 1500 1550 1750 1860 1922 2100 2170 2325 2604 2625 2883 3100 3255 3500 3844 3875 4340 4650 4805 5250 5425 5766 6510 6727 7750 9300 9610 10500 10850 11532 11625 13020 13454 14415 15500 16275 19220 20181 21700 23250 24025 26908 27125 28830 32550 33635 40362 46500 48050 54250 57660 65100 67270 72075 80724 81375 96100 100905 108500 120125 134540 144150 162750 168175 201810 240250 288300 325500 336350 360375 403620 480500 504525 672700 720750 840875 1009050 1441500 1681750 2018100 2522625 3363500 5045250 10090500