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5671680 = 28357211
BaseRepresentation
bin10101101000101100000000
3101200011002020
4111220230000
52422443210
6321321440
766131340
oct25505400
911604066
105671680
113224243
121a96280
131237731
14a78d20
15770770
hex568b00

5671680 has 144 divisors (see below), whose sum is σ = 20799744. Its totient is φ = 1290240.

The previous prime is 5671669. The next prime is 5671681. The reversal of 5671680 is 861765.

It is not an unprimeable number, because it can be changed into a prime (5671681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26775 + ... + 26985.

Almost surely, 25671680 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 5671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399872).

5671680 is an abundant number, since it is smaller than the sum of its proper divisors (15128064).

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

5671680 is a wasteful number, since it uses less digits than its factorization.

5671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5671680 is about 2381.5289206726. The cubic root of 5671680 is about 178.3352684644.

The spelling of 5671680 in words is "five million, six hundred seventy-one thousand, six hundred eighty".

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 96 105 112 120 128 140 160 168 192 210 211 224 240 256 280 320 336 384 420 422 448 480 560 633 640 672 768 840 844 896 960 1055 1120 1266 1280 1344 1477 1680 1688 1792 1920 2110 2240 2532 2688 2954 3165 3360 3376 3840 4220 4431 4480 5064 5376 5908 6330 6720 6752 7385 8440 8862 8960 10128 11816 12660 13440 13504 14770 16880 17724 20256 22155 23632 25320 26880 27008 29540 33760 35448 40512 44310 47264 50640 54016 59080 67520 70896 81024 88620 94528 101280 118160 135040 141792 162048 177240 189056 202560 236320 270080 283584 354480 378112 405120 472640 567168 708960 810240 945280 1134336 1417920 1890560 2835840 5671680