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1226316 = 2237131123
BaseRepresentation
bin100101011011001001100
32022022012010
410223121030
5303220231
642141220
713265160
oct4533114
92268163
101226316
11768393
124b1810
1333c240
1423cca0
15193546
hex12b64c

1226316 has 48 divisors (see below), whose sum is σ = 3524864. Its totient is φ = 323136.

The previous prime is 1226311. The next prime is 1226321. The reversal of 1226316 is 6136221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1226311) and next prime (1226321).

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 = 1226292 and 1226301.

It is not an unprimeable number, because it can be changed into a prime (1226311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 1653.

21226316 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 1226316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762432).

1226316 is an abundant number, since it is smaller than the sum of its proper divisors (2298548).

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

1226316 is a wasteful number, since it uses less digits than its factorization.

1226316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1226316 is about 1107.3915296768. The cubic root of 1226316 is about 107.0370500862.

The spelling of 1226316 in words is "one million, two hundred twenty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1123 2246 3369 4492 6738 7861 13476 14599 15722 23583 29198 31444 43797 47166 58396 87594 94332 102193 175188 204386 306579 408772 613158 1226316