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9995850 = 2325297229
BaseRepresentation
bin100110001000…
…011001001010
3200210211201200
4212020121022
510024331400
6554125030
7150651264
oct46103112
920724650
109995850
115708037
123420776
1320bca07
141482b34
15d26b00
hex98864a

9995850 has 72 divisors (see below), whose sum is σ = 27250860. Its totient is φ = 2626560.

The previous prime is 9995849. The next prime is 9995861. The reversal of 9995850 is 585999.

It can be written as a sum of positive squares in 6 ways, for example, as 5919489 + 4076361 = 2433^2 + 2019^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9995796 and 9995805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43536 + ... + 43764.

Almost surely, 29995850 is an apocalyptic number.

9995850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625430).

9995850 is an abundant number, since it is smaller than the sum of its proper divisors (17255010).

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

9995850 is a wasteful number, since it uses less digits than its factorization.

9995850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 9995850 is about 3161.6214194619. The cubic root of 9995850 is about 215.4136618663.

The spelling of 9995850 in words is "nine million, nine hundred ninety-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 229 291 450 458 485 582 687 873 970 1145 1374 1455 1746 2061 2290 2425 2910 3435 4122 4365 4850 5725 6870 7275 8730 10305 11450 14550 17175 20610 21825 22213 34350 43650 44426 51525 66639 103050 111065 133278 199917 222130 333195 399834 555325 666390 999585 1110650 1665975 1999170 3331950 4997925 9995850