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1426320 = 243257283
BaseRepresentation
bin101011100001110010000
32200110112200
411130032100
5331120240
650323200
715060240
oct5341620
92613480
101426320
11894685
12589500
133ac29c
14291b20
151d2930
hex15c390

1426320 has 120 divisors (see below), whose sum is σ = 5493696. Its totient is φ = 324864.

The previous prime is 1426303. The next prime is 1426331. The reversal of 1426320 is 236241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1426293 and 1426302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 5181.

21426320 is an apocalyptic number.

1426320 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 1426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746848).

1426320 is an abundant number, since it is smaller than the sum of its proper divisors (4067376).

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

1426320 is a wasteful number, since it uses less digits than its factorization.

1426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1426320 is about 1194.2863978125. The cubic root of 1426320 is about 112.5655913802.

The spelling of 1426320 in words is "one million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 283 315 336 360 420 504 560 566 630 720 840 849 1008 1132 1260 1415 1680 1698 1981 2264 2520 2547 2830 3396 3962 4245 4528 5040 5094 5660 5943 6792 7924 8490 9905 10188 11320 11886 12735 13584 15848 16980 17829 19810 20376 22640 23772 25470 29715 31696 33960 35658 39620 40752 47544 50940 59430 67920 71316 79240 89145 95088 101880 118860 142632 158480 178290 203760 237720 285264 356580 475440 713160 1426320