Search a number
-
+
8480640 = 27357631
BaseRepresentation
bin100000010110…
…011110000000
3120221212020210
4200112132000
54132340030
6501434120
7132040620
oct40263600
916855223
108480640
1148726a3
122a0b940
1319ac13c
1411aa880
15b27bb0
hex816780

8480640 has 128 divisors (see below), whose sum is σ = 30942720. Its totient is φ = 1935360.

The previous prime is 8480623. The next prime is 8480651. The reversal of 8480640 is 460848.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8480598 and 8480607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13125 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (241740).

Almost surely, 28480640 is an apocalyptic number.

8480640 is a gapful number since it is divisible by the number (80) 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 8480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471360).

8480640 is an abundant number, since it is smaller than the sum of its proper divisors (22462080).

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

8480640 is a wasteful number, since it uses less digits than its factorization.

8480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8480640 is about 2912.1538420901. The cubic root of 8480640 is about 203.9276944828.

The spelling of 8480640 in words is "eight million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 631 640 672 840 896 960 1120 1262 1344 1680 1893 1920 2240 2524 2688 3155 3360 3786 4417 4480 5048 6310 6720 7572 8834 9465 10096 12620 13251 13440 15144 17668 18930 20192 22085 25240 26502 30288 35336 37860 40384 44170 50480 53004 60576 66255 70672 75720 80768 88340 100960 106008 121152 132510 141344 151440 176680 201920 212016 242304 265020 282688 302880 353360 403840 424032 530040 565376 605760 706720 848064 1060080 1211520 1413440 1696128 2120160 2826880 4240320 8480640