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1399440 = 24357317
BaseRepresentation
bin101010101101010010000
32122002200010
411111222100
5324240230
645554520
714616000
oct5255220
92562603
101399440
11876469
12575a40
1339cc93
14286000
151c99b0
hex155a90

1399440 has 160 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 301056.

The previous prime is 1399439. The next prime is 1399441. The reversal of 1399440 is 449931.

1399440 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (1399439) and next prime (1399441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1399398 and 1399407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82312 + ... + 82328.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

21399440 is an apocalyptic number.

1399440 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 1399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

1399440 is an abundant number, since it is smaller than the sum of its proper divisors (3957360).

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

1399440 is a wasteful number, since it uses less digits than its factorization.

1399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1399440 is about 1182.9792897595. The cubic root of 1399440 is about 111.8539763664.

The spelling of 1399440 in words is "one million, three hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 49 51 56 60 68 70 80 84 85 98 102 105 112 119 120 136 140 147 168 170 196 204 210 238 240 245 255 272 280 294 336 340 343 357 392 408 420 476 490 510 560 588 595 680 686 714 735 784 816 833 840 952 980 1020 1029 1176 1190 1360 1372 1428 1470 1666 1680 1715 1785 1904 1960 2040 2058 2352 2380 2499 2744 2856 2940 3332 3430 3570 3920 4080 4116 4165 4760 4998 5145 5488 5712 5831 5880 6664 6860 7140 8232 8330 9520 9996 10290 11662 11760 12495 13328 13720 14280 16464 16660 17493 19992 20580 23324 24990 27440 28560 29155 33320 34986 39984 41160 46648 49980 58310 66640 69972 82320 87465 93296 99960 116620 139944 174930 199920 233240 279888 349860 466480 699720 1399440