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9090144 = 25357167
BaseRepresentation
bin100010101011…
…010001100000
3122002211100000
4202223101200
54311341034
6522500000
7140156610
oct42532140
918084300
109090144
115149618
123064600
131b636ab
1412c8a40
15be8599
hex8ab460

9090144 has 144 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 2581632.

The previous prime is 9090139. The next prime is 9090173. The reversal of 9090144 is 4410909.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54349 + ... + 54515.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 29090144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

9090144 is an abundant number, since it is smaller than the sum of its proper divisors (21730464).

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

9090144 is a wasteful number, since it uses less digits than its factorization.

9090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9090144 is about 3014.9865671343. The cubic root of 9090144 is about 208.7005471678.

The spelling of 9090144 in words is "nine million, ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 167 168 189 216 224 243 252 288 324 334 336 378 432 486 501 504 567 648 668 672 756 864 972 1002 1008 1134 1169 1296 1336 1503 1512 1701 1944 2004 2016 2268 2338 2592 2672 3006 3024 3402 3507 3888 4008 4509 4536 4676 5344 6012 6048 6804 7014 7776 8016 9018 9072 9352 10521 12024 13527 13608 14028 16032 18036 18144 18704 21042 24048 27054 27216 28056 31563 36072 37408 40581 42084 48096 54108 54432 56112 63126 72144 81162 84168 94689 108216 112224 126252 144288 162324 168336 189378 216432 252504 284067 324648 336672 378756 432864 505008 568134 649296 757512 1010016 1136268 1298592 1515024 2272536 3030048 4545072 9090144