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9025920 = 273251567
BaseRepresentation
bin100010011011…
…100110000000
3121222120020100
4202123212000
54302312140
6521242400
7136501431
oct42334600
917876210
109025920
115105342
123033400
131b403a7
1412ad488
15bd4530
hex89b980

9025920 has 96 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 2405376.

The previous prime is 9025909. The next prime is 9025937. The reversal of 9025920 is 295209.

9025920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4977 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 29025920 is an apocalyptic number.

9025920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

9025920 is an abundant number, since it is smaller than the sum of its proper divisors (22161600).

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

9025920 is a wasteful number, since it uses less digits than its factorization.

9025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1577 counting only the distinct ones).

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

The square root of 9025920 is about 3004.3168940709. The cubic root of 9025920 is about 208.2078789578.

The spelling of 9025920 in words is "nine million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1567 1920 2880 3134 4701 5760 6268 7835 9402 12536 14103 15670 18804 23505 25072 28206 31340 37608 47010 50144 56412 62680 70515 75216 94020 100288 112824 125360 141030 150432 188040 200576 225648 250720 282060 300864 376080 451296 501440 564120 601728 752160 902592 1002880 1128240 1504320 1805184 2256480 3008640 4512960 9025920