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5579920 = 245193671
BaseRepresentation
bin10101010010010010010000
3101111111012201
4111102102100
52412024140
6315332544
765266663
oct25222220
911444181
105579920
113171305
121a51154
131204a38
14a536da
1575349a
hex552490

5579920 has 40 divisors (see below), whose sum is σ = 13659840. Its totient is φ = 2113920.

The previous prime is 5579909. The next prime is 5579921. The reversal of 5579920 is 299755.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×55799202 = 62271014412800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5579920.

It is not an unprimeable number, because it can be changed into a prime (5579921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 25579920 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 5579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920).

5579920 is an abundant number, since it is smaller than the sum of its proper divisors (8079920).

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

5579920 is a wasteful number, since it uses less digits than its factorization.

5579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 5579920 is about 2362.1854287926. The cubic root of 5579920 is about 177.3682948135.

The spelling of 5579920 in words is "five million, five hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3671 7342 14684 18355 29368 36710 58736 69749 73420 139498 146840 278996 293680 348745 557992 697490 1115984 1394980 2789960 5579920