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1226106 = 232737263
BaseRepresentation
bin100101011010101111010
32022021220100
410223111322
5303213411
642140230
713264440
oct4532572
92267810
101226106
11768212
124b1676
1333c10b
1423cb90
15193456
hex12b57a

1226106 has 48 divisors (see below), whose sum is σ = 3129984. Its totient is φ = 339552.

The previous prime is 1226101. The next prime is 1226111. The reversal of 1226106 is 6016221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1226101) and next prime (1226111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4531 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

21226106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564992).

1226106 is an abundant number, since it is smaller than the sum of its proper divisors (1903878).

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

1226106 is a wasteful number, since it uses less digits than its factorization.

1226106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

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

The square root of 1226106 is about 1107.2967082043. The cubic root of 1226106 is about 107.0309398982.

The spelling of 1226106 in words is "one million, two hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 263 333 518 526 666 777 789 1554 1578 1841 2331 2367 3682 4662 4734 5523 9731 11046 16569 19462 29193 33138 58386 68117 87579 136234 175158 204351 408702 613053 1226106