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5590080 = 26335647
BaseRepresentation
bin10101010100110001000000
3101112000011000
4111110301000
52412340310
6315452000
765341416
oct25246100
911460130
105590080
113178a01
121a57000
131209552
14a572b6
157564c0
hex554c40

5590080 has 112 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 1488384.

The previous prime is 5590051. The next prime is 5590087. The reversal of 5590080 is 800955.

5590080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5590087) 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, 8317 + ... + 8963.

Almost surely, 25590080 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 5590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875520).

5590080 is an abundant number, since it is smaller than the sum of its proper divisors (14160960).

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

5590080 is a wasteful number, since it uses less digits than its factorization.

5590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5590080 is about 2364.3350016442. The cubic root of 5590080 is about 177.4758811373.

The spelling of 5590080 in words is "five million, five hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 647 720 864 960 1080 1294 1440 1728 1941 2160 2588 2880 3235 3882 4320 5176 5823 6470 7764 8640 9705 10352 11646 12940 15528 17469 19410 20704 23292 25880 29115 31056 34938 38820 41408 46584 51760 58230 62112 69876 77640 87345 93168 103520 116460 124224 139752 155280 174690 186336 207040 232920 279504 310560 349380 372672 465840 559008 621120 698760 931680 1118016 1397520 1863360 2795040 5590080