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1100216 = 231371149
BaseRepresentation
bin100001100100110111000
32001220012202
410030212320
5240201331
635325332
712231425
oct4144670
92056182
101100216
11691677
12450848
132c6a20
14208d4c
1516aecb
hex10c9b8

1100216 has 32 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 497280.

The previous prime is 1100213. The next prime is 1100219. The reversal of 1100216 is 6120011.

It is an interprime number because it is at equal distance from previous prime (1100213) and next prime (1100219).

It is a junction number, because it is equal to n+sod(n) for n = 1100197 and 1100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100213) 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, 7310 + ... + 7458.

It is an arithmetic number, because the mean of its divisors is an integer number (70875).

21100216 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 1100216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

1100216 is an abundant number, since it is smaller than the sum of its proper divisors (1167784).

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

1100216 is a wasteful number, since it uses less digits than its factorization.

1100216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1100216 is about 1048.9118170752. The cubic root of 1100216 is about 103.2347678460.

Adding to 1100216 its reverse (6120011), we get a palindrome (7220227).

The spelling of 1100216 in words is "one million, one hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 71 104 142 149 284 298 568 596 923 1192 1846 1937 3692 3874 7384 7748 10579 15496 21158 42316 84632 137527 275054 550108 1100216