Search a number
-
+
9048240 = 243355971
BaseRepresentation
bin100010100001…
…000010110000
3122000200212000
4202201002300
54304020430
6521534000
7136623465
oct42410260
918020760
109048240
115120093
123044300
131b4a5b6
1412b766c
15bdae60
hex8a10b0

9048240 has 160 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2338560.

The previous prime is 9048217. The next prime is 9048253. The reversal of 9048240 is 428409.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127405 + ... + 127475.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 29048240 is an apocalyptic number.

9048240 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 9048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

9048240 is an abundant number, since it is smaller than the sum of its proper divisors (23092560).

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

9048240 is a wasteful number, since it uses less digits than its factorization.

9048240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9048240 is about 3008.0292551769. The cubic root of 9048240 is about 208.3793619187.

The spelling of 9048240 in words is "nine million, forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 59 60 71 72 80 90 108 118 120 135 142 144 177 180 213 216 236 240 270 284 295 354 355 360 426 432 472 531 540 568 590 639 708 710 720 852 885 944 1062 1065 1080 1136 1180 1278 1416 1420 1593 1704 1770 1917 2124 2130 2160 2360 2556 2655 2832 2840 3186 3195 3408 3540 3834 4189 4248 4260 4720 5112 5310 5680 6372 6390 7080 7668 7965 8378 8496 8520 9585 10224 10620 12567 12744 12780 14160 15336 15930 16756 17040 19170 20945 21240 25134 25488 25560 30672 31860 33512 37701 38340 41890 42480 50268 51120 62835 63720 67024 75402 76680 83780 100536 113103 125670 127440 150804 153360 167560 188505 201072 226206 251340 301608 335120 377010 452412 502680 565515 603216 754020 904824 1005360 1131030 1508040 1809648 2262060 3016080 4524120 9048240