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1319220 = 223357349
BaseRepresentation
bin101000010000100110100
32111000122000
411002010310
5314203340
644135300
714133060
oct5020464
92430560
101319220
11821171
12537530
13372606
14264aa0
151b0d30
hex142134

1319220 has 96 divisors (see below), whose sum is σ = 4704000. Its totient is φ = 300672.

The previous prime is 1319209. The next prime is 1319261. The reversal of 1319220 is 229131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1319193 and 1319202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3606 + ... + 3954.

It is an arithmetic number, because the mean of its divisors is an integer number (49000).

21319220 is an apocalyptic number.

1319220 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 1319220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352000).

1319220 is an abundant number, since it is smaller than the sum of its proper divisors (3384780).

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

1319220 is a wasteful number, since it uses less digits than its factorization.

1319220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1319220 is about 1148.5730277174. The cubic root of 1319220 is about 109.6745199777.

The spelling of 1319220 in words is "one million, three hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 349 378 420 540 630 698 756 945 1047 1260 1396 1745 1890 2094 2443 3141 3490 3780 4188 4886 5235 6282 6980 7329 9423 9772 10470 12215 12564 14658 15705 18846 20940 21987 24430 29316 31410 36645 37692 43974 47115 48860 62820 65961 73290 87948 94230 109935 131922 146580 188460 219870 263844 329805 439740 659610 1319220