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9090432 = 273213607
BaseRepresentation
bin100010101011…
…010110000000
3122002211201200
4202223112000
54311343212
6522501200
7140160501
oct42532600
918084650
109090432
11514985a
123064800
131b63870
1412c8ba8
15be86dc
hex8ab580

9090432 has 96 divisors (see below), whose sum is σ = 28217280. Its totient is φ = 2792448.

The previous prime is 9090407. The next prime is 9090437. The reversal of 9090432 is 2340909.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9090396 and 9090405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14673 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (293930).

Almost surely, 29090432 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 9090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108640).

9090432 is an abundant number, since it is smaller than the sum of its proper divisors (19126848).

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

9090432 is a wasteful number, since it uses less digits than its factorization.

9090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9090432 is about 3015.0343281628. The cubic root of 9090432 is about 208.7027512078.

The spelling of 9090432 in words is "nine million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 607 624 832 936 1152 1214 1248 1664 1821 1872 2428 2496 3642 3744 4856 4992 5463 7284 7488 7891 9712 10926 14568 14976 15782 19424 21852 23673 29136 31564 38848 43704 47346 58272 63128 71019 77696 87408 94692 116544 126256 142038 174816 189384 233088 252512 284076 349632 378768 505024 568152 699264 757536 1010048 1136304 1515072 2272608 3030144 4545216 9090432