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1530216 = 233253401
BaseRepresentation
bin101110101100101101000
32212202001200
411311211220
5342431331
652444200
716002162
oct5654550
92782050
101530216
11955746
12619660
1341766c
142bb932
152035e6
hex175968

1530216 has 48 divisors (see below), whose sum is σ = 4233060. Its totient is φ = 499200.

The previous prime is 1530197. The next prime is 1530227. The reversal of 1530216 is 6120351.

It can be written as a sum of positive squares in 2 ways, for example, as 1232100 + 298116 = 1110^2 + 546^2 .

It is a super-2 number, since 2×15302162 = 4683122013312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3616 + ... + 4016.

21530216 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 1530216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116530).

1530216 is an abundant number, since it is smaller than the sum of its proper divisors (2702844).

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

1530216 is a wasteful number, since it uses less digits than its factorization.

1530216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1530216 is about 1237.0189974289. The cubic root of 1530216 is about 115.2349575623.

Adding to 1530216 its reverse (6120351), we get a palindrome (7650567).

The spelling of 1530216 in words is "one million, five hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 401 424 477 636 802 954 1203 1272 1604 1908 2406 3208 3609 3816 4812 7218 9624 14436 21253 28872 42506 63759 85012 127518 170024 191277 255036 382554 510072 765108 1530216