Search a number
-
+
9056480 = 255232107
BaseRepresentation
bin100010100011…
…000011100000
3122001010011012
4202203003200
54304301410
6522040052
7136656506
oct42430340
918033135
109056480
1151262a4
123049028
131b51284
1412ba676
15bdd605
hex8a30e0

9056480 has 72 divisors (see below), whose sum is σ = 22575672. Its totient is φ = 3432704.

The previous prime is 9056479. The next prime is 9056507. The reversal of 9056480 is 846509.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 84587 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (313551).

Almost surely, 29056480 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 9056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287836).

9056480 is an abundant number, since it is smaller than the sum of its proper divisors (13519192).

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

9056480 is a wasteful number, since it uses less digits than its factorization.

9056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 9056480 is about 3009.3986110185. The cubic root of 9056480 is about 208.4425979728.

The spelling of 9056480 in words is "nine million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 107 115 160 184 214 230 368 428 460 529 535 736 856 920 1058 1070 1712 1840 2116 2140 2461 2645 3424 3680 4232 4280 4922 5290 8464 8560 9844 10580 12305 16928 17120 19688 21160 24610 39376 42320 49220 56603 78752 84640 98440 113206 196880 226412 283015 393760 452824 566030 905648 1132060 1811296 2264120 4528240 9056480