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1209216 = 2734767
BaseRepresentation
bin100100111001110000000
32021102201210
410213032000
5302143331
641530120
713164261
oct4471600
92242653
101209216
11756558
124a3940
13334518
14236968
1518d446
hex127380

1209216 has 64 divisors (see below), whose sum is σ = 3329280. Its totient is φ = 388608.

The previous prime is 1209209. The next prime is 1209223. The reversal of 1209216 is 6129021.

It is an interprime number because it is at equal distance from previous prime (1209209) and next prime (1209223).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1209192 and 1209201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18015 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (52020).

21209216 is an apocalyptic number.

1209216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664640).

1209216 is an abundant number, since it is smaller than the sum of its proper divisors (2120064).

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

1209216 is an equidigital number, since it uses as much as digits as its factorization.

1209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1209216 is about 1099.6435786199. The cubic root of 1209216 is about 106.5372040443.

The spelling of 1209216 in words is "one million, two hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 67 94 96 128 134 141 188 192 201 268 282 376 384 402 536 564 752 804 1072 1128 1504 1608 2144 2256 3008 3149 3216 4288 4512 6016 6298 6432 8576 9024 9447 12596 12864 18048 18894 25192 25728 37788 50384 75576 100768 151152 201536 302304 403072 604608 1209216