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1239264 = 253213331
BaseRepresentation
bin100101110100011100000
32022221221200
410232203200
5304124024
642321200
713351005
oct4564340
92287850
101239264
11777094
124b9200
133450c0
142438ac
151972c9
hex12e8e0

1239264 has 72 divisors (see below), whose sum is σ = 3806712. Its totient is φ = 380160.

The previous prime is 1239247. The next prime is 1239269. The reversal of 1239264 is 4629321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1239269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3579 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (52871).

21239264 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 1239264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903356).

1239264 is an abundant number, since it is smaller than the sum of its proper divisors (2567448).

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

1239264 is a wasteful number, since it uses less digits than its factorization.

1239264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1239264 is about 1113.2223497577. Note that the first 3 decimals coincide. The cubic root of 1239264 is about 107.4124471909.

The spelling of 1239264 in words is "one million, two hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 331 416 468 624 662 936 993 1248 1324 1872 1986 2648 2979 3744 3972 4303 5296 5958 7944 8606 10592 11916 12909 15888 17212 23832 25818 31776 34424 38727 47664 51636 68848 77454 95328 103272 137696 154908 206544 309816 413088 619632 1239264