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1264224 = 253131013
BaseRepresentation
bin100110100101001100000
32101020012010
410310221200
5310423344
643032520
713513533
oct4645140
92336163
101264224
11793915
1250b740
13353580
1424ca1a
1519e8b9
hex134a60

1264224 has 48 divisors (see below), whose sum is σ = 3577392. Its totient is φ = 388608.

The previous prime is 1264213. The next prime is 1264231. The reversal of 1264224 is 4224621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1264224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (74529).

21264224 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 1264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788696).

1264224 is an abundant number, since it is smaller than the sum of its proper divisors (2313168).

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

1264224 is a wasteful number, since it uses less digits than its factorization.

1264224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 1264224 is about 1124.3771609207. The cubic root of 1264224 is about 108.1287901152.

Adding to 1264224 its reverse (4224621), we get a palindrome (5488845).

The spelling of 1264224 in words is "one million, two hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1013 1248 2026 3039 4052 6078 8104 12156 13169 16208 24312 26338 32416 39507 48624 52676 79014 97248 105352 158028 210704 316056 421408 632112 1264224