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5556330 = 2335131583
BaseRepresentation
bin10101001100100001101010
3101110021212000
4111030201222
52410300310
6315031430
765141133
oct25144152
911407760
105556330
11315560a
121a3b576
1311c7090
14a48c8a
1574b4c0
hex54c86a

5556330 has 64 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1366848.

The previous prime is 5556329. The next prime is 5556337. The reversal of 5556330 is 336555.

It is a happy number.

5556330 is nontrivially palindromic in base 8.

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

It is a junction number, because it is equal to n+sod(n) for n = 5556294 and 5556303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 25556330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5556330 is an abundant number, since it is smaller than the sum of its proper divisors (10410390).

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

5556330 is a wasteful number, since it uses less digits than its factorization.

5556330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 5556330 is about 2357.1868827057. The cubic root of 5556330 is about 177.1179908483.

It can be divided in two parts, 5556 and 330, that added together give a triangular number (5886 = T108).

The spelling of 5556330 in words is "five million, five hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1583 1755 3166 3510 4749 7915 9498 14247 15830 20579 23745 28494 41158 42741 47490 61737 71235 85482 102895 123474 142470 185211 205790 213705 308685 370422 427410 555633 617370 926055 1111266 1852110 2778165 5556330