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1069224 = 2331323149
BaseRepresentation
bin100000101000010101000
32000022200220
410011002220
5233203344
634530040
712042162
oct4050250
92008626
101069224
11670362
12436920
132b58a0
141db932
15161c19
hex1050a8

1069224 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 312576.

The previous prime is 1069223. The next prime is 1069267. The reversal of 1069224 is 4229601.

It is a super-4 number, since 4×10692244 (a number of 25 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1069194 and 1069203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069223) 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, 7102 + ... + 7250.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

21069224 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 1069224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1069224 is an abundant number, since it is smaller than the sum of its proper divisors (1954776).

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

1069224 is a wasteful number, since it uses less digits than its factorization.

1069224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1069224 is about 1034.0328814888. The cubic root of 1069224 is about 102.2561803443.

1069224 divided by its sum of digits (24) gives a triangular number (44551 = T298).

The spelling of 1069224 in words is "one million, sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 149 156 184 276 298 299 312 447 552 596 598 894 897 1192 1196 1788 1794 1937 2392 3427 3576 3588 3874 5811 6854 7176 7748 10281 11622 13708 15496 20562 23244 27416 41124 44551 46488 82248 89102 133653 178204 267306 356408 534612 1069224