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8563680 = 2532519313
BaseRepresentation
bin100000101010…
…101111100000
3121010002011100
4200222233200
54143014210
6503314400
7132534666
oct40525740
917102140
108563680
11491a024
122a4ba00
131a0ab88
1411ccc36
15b425c0
hex82abe0

8563680 has 144 divisors (see below), whose sum is σ = 30859920. Its totient is φ = 2156544.

The previous prime is 8563637. The next prime is 8563693. The reversal of 8563680 is 863658.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27204 + ... + 27516.

It is an arithmetic number, because the mean of its divisors is an integer number (214305).

Almost surely, 28563680 is an apocalyptic number.

8563680 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 8563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429960).

8563680 is an abundant number, since it is smaller than the sum of its proper divisors (22296240).

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

8563680 is a wasteful number, since it uses less digits than its factorization.

8563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8563680 is about 2926.3765991410. The cubic root of 8563680 is about 204.5911343097.

The spelling of 8563680 in words is "eight million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 313 342 360 380 456 480 570 608 626 684 720 760 855 912 939 1140 1252 1368 1440 1520 1565 1710 1824 1878 2280 2504 2736 2817 3040 3130 3420 3756 4560 4695 5008 5472 5634 5947 6260 6840 7512 9120 9390 10016 11268 11894 12520 13680 14085 15024 17841 18780 22536 23788 25040 27360 28170 29735 30048 35682 37560 45072 47576 50080 53523 56340 59470 71364 75120 89205 90144 95152 107046 112680 118940 142728 150240 178410 190304 214092 225360 237880 267615 285456 356820 428184 450720 475760 535230 570912 713640 856368 951520 1070460 1427280 1712736 2140920 2854560 4281840 8563680