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1319680 = 2851031
BaseRepresentation
bin101000010001100000000
32111001021001
411002030000
5314212210
644141344
714134315
oct5021400
92431231
101319680
1182154a
12537854
1337289b
14264d0c
151b103a
hex142300

1319680 has 36 divisors (see below), whose sum is σ = 3164112. Its totient is φ = 527360.

The previous prime is 1319651. The next prime is 1319687. The reversal of 1319680 is 869131.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1319687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 765 + ... + 1795.

It is an arithmetic number, because the mean of its divisors is an integer number (87892).

21319680 is an apocalyptic number.

1319680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582056).

1319680 is an abundant number, since it is smaller than the sum of its proper divisors (1844432).

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

1319680 is an equidigital number, since it uses as much as digits as its factorization.

1319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1319680 is about 1148.7732587417. The cubic root of 1319680 is about 109.6872659984.

The spelling of 1319680 in words is "one million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1031 1280 2062 4124 5155 8248 10310 16496 20620 32992 41240 65984 82480 131968 164960 263936 329920 659840 1319680