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5557120 = 27519457
BaseRepresentation
bin10101001100101110000000
3101110022221021
4111030232000
52410311440
6315035224
765143342
oct25145600
911408837
105557120
113156168
121a3bb14
1311c754a
14a49292
1574b84a
hex54cb80

5557120 has 64 divisors (see below), whose sum is σ = 14014800. Its totient is φ = 2101248.

The previous prime is 5557117. The next prime is 5557133. The reversal of 5557120 is 217555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11932 + ... + 12388.

Almost surely, 25557120 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 5557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007400).

5557120 is an abundant number, since it is smaller than the sum of its proper divisors (8457680).

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

5557120 is a wasteful number, since it uses less digits than its factorization.

5557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 5557120 is about 2357.3544493775. The cubic root of 5557120 is about 177.1263846731.

It can be divided in two parts, 55 and 57120, that added together give a palindrome (57175).

The spelling of 5557120 in words is "five million, five hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 457 608 640 760 914 1216 1520 1828 2285 2432 3040 3656 4570 6080 7312 8683 9140 12160 14624 17366 18280 29248 34732 36560 43415 58496 69464 73120 86830 138928 146240 173660 277856 292480 347320 555712 694640 1111424 1389280 2778560 5557120