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553344560 = 245172511621
BaseRepresentation
bin100000111110110…
…101111000110000
31102120012211000222
4200332311320300
52113124011220
6130524032212
716466231306
oct4076657060
91376184028
10553344560
11264391a5a
12135392668
138a841922
14536c0276
15338a3e25
hex20fb5e30

553344560 has 80 divisors (see below), whose sum is σ = 1368474912. Its totient is φ = 207360000.

The previous prime is 553344553. The next prime is 553344601. The reversal of 553344560 is 65443355.

553344560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 553344560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340550 + ... + 342170.

Almost surely, 2553344560 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 553344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684237456).

553344560 is an abundant number, since it is smaller than the sum of its proper divisors (815130352).

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

553344560 is a wasteful number, since it uses less digits than its factorization.

553344560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The square root of 553344560 is about 23523.2769825975. The cubic root of 553344560 is about 820.9786847195.

The spelling of 553344560 in words is "five hundred fifty-three million, three hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 251 272 340 502 680 1004 1255 1360 1621 2008 2510 3242 4016 4267 5020 6484 8105 8534 10040 12968 16210 17068 20080 21335 25936 27557 32420 34136 42670 55114 64840 68272 85340 110228 129680 137785 170680 220456 275570 341360 406871 440912 551140 813742 1102280 1627484 2034355 2204560 3254968 4068710 6509936 6916807 8137420 13833614 16274840 27667228 32549680 34584035 55334456 69168070 110668912 138336140 276672280 553344560