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1221648 = 24331821
BaseRepresentation
bin100101010010000010000
32022001210020
410222100100
5303043043
642103440
713245441
oct4522020
92261706
101221648
1176492a
124aab80
1333a08c
1423b2c8
15191e83
hex12a410

1221648 has 40 divisors (see below), whose sum is σ = 3261696. Its totient is φ = 393600.

The previous prime is 1221641. The next prime is 1221653. The reversal of 1221648 is 8461221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221641) 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, 1078 + ... + 1898.

21221648 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 1221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630848).

1221648 is an abundant number, since it is smaller than the sum of its proper divisors (2040048).

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

1221648 is a wasteful number, since it uses less digits than its factorization.

1221648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1221648 is about 1105.2818645033. The cubic root of 1221648 is about 106.9010643998.

Adding to 1221648 its reverse (8461221), we get a palindrome (9682869).

It can be divided in two parts, 122 and 1648, that added together give a triangular number (1770 = T59).

The spelling of 1221648 in words is "one million, two hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 821 1488 1642 2463 3284 4926 6568 9852 13136 19704 25451 39408 50902 76353 101804 152706 203608 305412 407216 610824 1221648