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5662080 = 27325983
BaseRepresentation
bin10101100110010110000000
3101122122220200
4111212112000
52422141310
6321205200
766061344
oct25462600
911578820
105662080
113218006
121a90800
131233258
14a75624
1576c9c0
hex566580

5662080 has 96 divisors (see below), whose sum is σ = 19571760. Its totient is φ = 1508352.

The previous prime is 5662051. The next prime is 5662087. The reversal of 5662080 is 802665.

5662080 is a `hidden beast` number, since 566 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5269 + ... + 6251.

Almost surely, 25662080 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 5662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785880).

5662080 is an abundant number, since it is smaller than the sum of its proper divisors (13909680).

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

5662080 is a wasteful number, since it uses less digits than its factorization.

5662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5662080 is about 2379.5125551255. The cubic root of 5662080 is about 178.2345936838.

The spelling of 5662080 in words is "five million, six hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 983 1152 1440 1920 1966 2880 2949 3932 4915 5760 5898 7864 8847 9830 11796 14745 15728 17694 19660 23592 29490 31456 35388 39320 44235 47184 58980 62912 70776 78640 88470 94368 117960 125824 141552 157280 176940 188736 235920 283104 314560 353880 377472 471840 566208 629120 707760 943680 1132416 1415520 1887360 2831040 5662080