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9900450 = 2325272449
BaseRepresentation
bin100101110001…
…000110100010
3200121222212100
4211301012202
510013303300
6552111230
7150103200
oct45610642
920558770
109900450
11565239a
123395516
132088471
14145a070
15d08700
hex9711a2

9900450 has 108 divisors (see below), whose sum is σ = 31010850. Its totient is φ = 2257920.

The previous prime is 9900437. The next prime is 9900461. The reversal of 9900450 is 540099.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7800849 + 2099601 = 2793^2 + 1449^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21826 + ... + 22274.

Almost surely, 29900450 is an apocalyptic number.

9900450 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 9900450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505425).

9900450 is an abundant number, since it is smaller than the sum of its proper divisors (21110400).

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

9900450 is a wasteful number, since it uses less digits than its factorization.

9900450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9900450 is about 3146.4980533921. The cubic root of 9900450 is about 214.7261702301.

The spelling of 9900450 in words is "nine million, nine hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 449 450 490 525 630 735 882 898 1050 1225 1347 1470 1575 2205 2245 2450 2694 3143 3150 3675 4041 4410 4490 6286 6735 7350 8082 9429 11025 11225 13470 15715 18858 20205 22001 22050 22450 28287 31430 33675 40410 44002 47145 56574 66003 67350 78575 94290 101025 110005 132006 141435 157150 198009 202050 220010 235725 282870 330015 396018 471450 550025 660030 707175 990045 1100050 1414350 1650075 1980090 3300150 4950225 9900450