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1226544 = 2431123101
BaseRepresentation
bin100101011011100110000
32022022111120
410223130300
5303222134
642142240
713265634
oct4533460
92268446
101226544
11768580
124b1980
1333c387
1423cdc4
15193649
hex12b730

1226544 has 80 divisors (see below), whose sum is σ = 3642624. Its totient is φ = 352000.

The previous prime is 1226539. The next prime is 1226549. The reversal of 1226544 is 4456221.

It is an interprime number because it is at equal distance from previous prime (1226539) and next prime (1226549).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1226549) 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, 12094 + ... + 12194.

21226544 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 1226544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312).

1226544 is an abundant number, since it is smaller than the sum of its proper divisors (2416080).

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

1226544 is a wasteful number, since it uses less digits than its factorization.

1226544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 1226544 is about 1107.4944695122. The cubic root of 1226544 is about 107.0436832147.

It can be divided in two parts, 1226 and 544, that added together give a triangular number (1770 = T59).

The spelling of 1226544 in words is "one million, two hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 101 132 138 176 184 202 253 264 276 303 368 404 506 528 552 606 759 808 1012 1104 1111 1212 1518 1616 2024 2222 2323 2424 3036 3333 4048 4444 4646 4848 6072 6666 6969 8888 9292 12144 13332 13938 17776 18584 25553 26664 27876 37168 51106 53328 55752 76659 102212 111504 153318 204424 306636 408848 613272 1226544