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1126216 = 237213217
BaseRepresentation
bin100010010111101001000
32010012212201
410102331020
5242014331
640045544
712400300
oct4227510
92105781
101126216
116aa163
124638b4
13305800
14214600
15173a61
hex112f48

1126216 has 72 divisors (see below), whose sum is σ = 2816370. Its totient is φ = 419328.

The previous prime is 1126211. The next prime is 1126219. The reversal of 1126216 is 6126211.

It can be written as a sum of positive squares in 3 ways, for example, as 729316 + 396900 = 854^2 + 630^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1126193 and 1126202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66240 + ... + 66256.

21126216 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 1126216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408185).

1126216 is an abundant number, since it is smaller than the sum of its proper divisors (1690154).

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

1126216 is a wasteful number, since it uses less digits than its factorization.

1126216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 1126216 is about 1061.2332448618. The cubic root of 1126216 is about 104.0416499844.

It can be divided in two parts, 112 and 6216, that added together give a triangular number (6328 = T112).

The spelling of 1126216 in words is "one million, one hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 169 182 196 221 238 338 364 392 442 476 637 676 728 833 884 952 1183 1274 1352 1547 1666 1768 2366 2548 2873 3094 3332 4732 5096 5746 6188 6664 8281 9464 10829 11492 12376 16562 20111 21658 22984 33124 40222 43316 66248 80444 86632 140777 160888 281554 563108 1126216