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1182216 = 233731227
BaseRepresentation
bin100100000101000001000
32020001200210
410200220020
5300312331
641201120
713022460
oct4405010
92201623
101182216
11738242
124901a0
13325149
1422aba0
15185446
hex120a08

1182216 has 64 divisors (see below), whose sum is σ = 3502080. Its totient is φ = 325440.

The previous prime is 1182211. The next prime is 1182253. The reversal of 1182216 is 6122811.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 1182192 and 1182201.

It is not an unprimeable number, because it can be changed into a prime (1182211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (54720).

21182216 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 1182216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751040).

1182216 is an abundant number, since it is smaller than the sum of its proper divisors (2319864).

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

1182216 is a wasteful number, since it uses less digits than its factorization.

1182216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1182216 is about 1087.2975673660. The cubic root of 1182216 is about 105.7382887511.

The spelling of 1182216 in words is "one million, one hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 227 248 372 434 454 651 681 744 868 908 1302 1362 1589 1736 1816 2604 2724 3178 4767 5208 5448 6356 7037 9534 12712 14074 19068 21111 28148 38136 42222 49259 56296 84444 98518 147777 168888 197036 295554 394072 591108 1182216