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9090630 = 23652943
BaseRepresentation
bin100010101011…
…011001000110
3122002212000000
4202223121012
54311400010
6522502130
7140161203
oct42533106
918085000
109090630
115149a1a
123064946
131b63993
1412c8caa
15be87c0
hex8ab646

9090630 has 112 divisors (see below), whose sum is σ = 25969680. Its totient is φ = 2286144.

The previous prime is 9090629. The next prime is 9090649. The reversal of 9090630 is 360909.

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

It is a junction number, because it is equal to n+sod(n) for n = 9090594 and 9090603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 211389 + ... + 211431.

Almost surely, 29090630 is an apocalyptic number.

9090630 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 9090630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984840).

9090630 is an abundant number, since it is smaller than the sum of its proper divisors (16879050).

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

9090630 is a wasteful number, since it uses less digits than its factorization.

9090630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

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

The square root of 9090630 is about 3015.0671634310. The cubic root of 9090630 is about 208.7042664583.

The spelling of 9090630 in words is "nine million, ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 43 45 54 58 81 86 87 90 129 135 145 162 174 215 243 258 261 270 290 387 405 430 435 486 522 645 729 774 783 810 870 1161 1215 1247 1290 1305 1458 1566 1935 2322 2349 2430 2494 2610 3483 3645 3741 3870 3915 4698 5805 6235 6966 7047 7290 7482 7830 10449 11223 11610 11745 12470 14094 17415 18705 20898 21141 22446 23490 31347 33669 34830 35235 37410 42282 52245 56115 62694 67338 70470 101007 104490 105705 112230 156735 168345 202014 211410 303021 313470 336690 505035 606042 909063 1010070 1515105 1818126 3030210 4545315 9090630