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2055216 = 24347911
BaseRepresentation
bin111110101110000110000
310212102020010
413311300300
51011231331
6112014520
723316612
oct7656060
93772203
102055216
111184129
12831440
1356c607
143b6db2
152a8e46
hex1f5c30

2055216 has 40 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 669760.

The previous prime is 2055203. The next prime is 2055217. The reversal of 2055216 is 6125502.

It is a junction number, because it is equal to n+sod(n) for n = 2055192 and 2055201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1801 + ... + 2711.

22055216 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 2055216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

2055216 is an abundant number, since it is smaller than the sum of its proper divisors (3373008).

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

2055216 is a wasteful number, since it uses less digits than its factorization.

2055216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2055216 is about 1433.6024553550. The cubic root of 2055216 is about 127.1410588837.

The spelling of 2055216 in words is "two million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 911 1128 1822 2256 2733 3644 5466 7288 10932 14576 21864 42817 43728 85634 128451 171268 256902 342536 513804 685072 1027608 2055216