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1146216 = 233163293
BaseRepresentation
bin100010111110101101000
32011020022110
410113311220
5243134331
640322320
712512511
oct4276550
92136273
101146216
11713195
124733a0
13311946
1421ba08
15179946
hex117d68

1146216 has 32 divisors (see below), whose sum is σ = 2892960. Its totient is φ = 378432.

The previous prime is 1146179. The next prime is 1146217. The reversal of 1146216 is 6126411.

It is a super-2 number, since 2×11462162 = 2627622237312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1146192 and 1146201.

It is not an unprimeable number, because it can be changed into a prime (1146217) 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, 3766 + ... + 4058.

It is an arithmetic number, because the mean of its divisors is an integer number (90405).

21146216 is an apocalyptic number.

It is an amenable number.

1146216 is an abundant number, since it is smaller than the sum of its proper divisors (1746744).

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

1146216 is a wasteful number, since it uses less digits than its factorization.

1146216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1146216 is about 1070.6147766587. The cubic root of 1146216 is about 104.6539172448.

The spelling of 1146216 in words is "one million, one hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 163 293 326 489 586 652 879 978 1172 1304 1758 1956 2344 3516 3912 7032 47759 95518 143277 191036 286554 382072 573108 1146216