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1319424 = 293859
BaseRepresentation
bin101000010001000000000
32111000220120
411002020000
5314210144
644140240
714133501
oct5021000
92430816
101319424
11821337
12537680
13372732
14264ba8
151b0e19
hex142200

1319424 has 40 divisors (see below), whose sum is σ = 3519120. Its totient is φ = 439296.

The previous prime is 1319419. The next prime is 1319429. The reversal of 1319424 is 4249131.

It is an interprime number because it is at equal distance from previous prime (1319419) and next prime (1319429).

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

Its product of digits (864) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 1319394 and 1319403.

It is not an unprimeable number, because it can be changed into a prime (1319429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1107 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (87978).

21319424 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 1319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759560).

1319424 is an abundant number, since it is smaller than the sum of its proper divisors (2199696).

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

1319424 is an frugal number, since it uses more digits than its factorization.

1319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

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

The square root of 1319424 is about 1148.6618301310. The cubic root of 1319424 is about 109.6801729264.

The spelling of 1319424 in words is "one million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 859 1536 1718 2577 3436 5154 6872 10308 13744 20616 27488 41232 54976 82464 109952 164928 219904 329856 439808 659712 1319424