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5527980 = 2233529353
BaseRepresentation
bin10101000101100110101100
3101101211222000
4111011212230
52403343410
6314252300
764662363
oct25054654
911354860
105527980
113136287
121a27090
1311b71c3
14a3c7da
15742dc0
hex5459ac

5527980 has 96 divisors (see below), whose sum is σ = 17841600. Its totient is φ = 1419264.

The previous prime is 5527979. The next prime is 5527987. The reversal of 5527980 is 897255.

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

It is not an unprimeable number, because it can be changed into a prime (5527987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15484 + ... + 15836.

It is an arithmetic number, because the mean of its divisors is an integer number (185850).

Almost surely, 25527980 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 5527980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920800).

5527980 is an abundant number, since it is smaller than the sum of its proper divisors (12313620).

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

5527980 is a wasteful number, since it uses less digits than its factorization.

5527980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5527980 is about 2351.1656683441. The cubic root of 5527980 is about 176.8162413504.

The spelling of 5527980 in words is "five million, five hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 353 435 522 540 580 706 783 870 1044 1059 1305 1412 1566 1740 1765 2118 2610 3132 3177 3530 3915 4236 5220 5295 6354 7060 7830 9531 10237 10590 12708 15660 15885 19062 20474 21180 30711 31770 38124 40948 47655 51185 61422 63540 92133 95310 102370 122844 153555 184266 190620 204740 276399 307110 368532 460665 552798 614220 921330 1105596 1381995 1842660 2763990 5527980