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1226016 = 25341143
BaseRepresentation
bin100101011010100100000
32022021210000
410223110200
5303213031
642140000
713264251
oct4532440
92267700
101226016
11768140
124b1600
1333c06c
1423cb28
151933e6
hex12b520

1226016 has 120 divisors (see below), whose sum is σ = 4024944. Its totient is φ = 362880.

The previous prime is 1226011. The next prime is 1226041. The reversal of 1226016 is 6106221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1226016.

It is not an unprimeable number, because it can be changed into a prime (1226011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28491 + ... + 28533.

21226016 is an apocalyptic number.

1226016 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 1226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012472).

1226016 is an abundant number, since it is smaller than the sum of its proper divisors (2798928).

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

1226016 is a wasteful number, since it uses less digits than its factorization.

1226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1226016 is about 1107.2560679445. The cubic root of 1226016 is about 107.0283210327.

The spelling of 1226016 in words is "one million, two hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 43 44 48 54 66 72 81 86 88 96 99 108 129 132 144 162 172 176 198 216 258 264 288 297 324 344 352 387 396 432 473 516 528 594 648 688 774 792 864 891 946 1032 1056 1161 1188 1296 1376 1419 1548 1584 1782 1892 2064 2322 2376 2592 2838 3096 3168 3483 3564 3784 4128 4257 4644 4752 5676 6192 6966 7128 7568 8514 9288 9504 11352 12384 12771 13932 14256 15136 17028 18576 22704 25542 27864 28512 34056 37152 38313 45408 51084 55728 68112 76626 102168 111456 136224 153252 204336 306504 408672 613008 1226016