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1399486440 = 2335111795923
BaseRepresentation
bin101001101101010…
…0111011111101000
310121112101021111010
41103122213133220
510331232031230
6350511503520
746452303252
oct12332473750
93545337433
101399486440
11658a78970
12330827ba0
13193c2bab1
14d3c1acd2
1582ce29b0
hex536a77e8

1399486440 has 128 divisors (see below), whose sum is σ = 4606502400. Its totient is φ = 337317120.

The previous prime is 1399486411. The next prime is 1399486447. The reversal of 1399486440 is 446849931.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1399486440.

It is not an unprimeable number, because it can be changed into a prime (1399486447) 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, 233319 + ... + 239241.

It is an arithmetic number, because the mean of its divisors is an integer number (35988300).

Almost surely, 21399486440 is an apocalyptic number.

1399486440 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 1399486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303251200).

1399486440 is an abundant number, since it is smaller than the sum of its proper divisors (3207015960).

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

1399486440 is a wasteful number, since it uses less digits than its factorization.

1399486440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 1399486440 is about 37409.7105040924. The cubic root of 1399486440 is about 1118.5521363298.

The spelling of 1399486440 in words is "one billion, three hundred ninety-nine million, four hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 179 220 264 330 358 440 537 660 716 895 1074 1320 1432 1790 1969 2148 2685 3580 3938 4296 5370 5907 5923 7160 7876 9845 10740 11814 11846 15752 17769 19690 21480 23628 23692 29535 29615 35538 39380 47256 47384 59070 59230 65153 71076 78760 88845 118140 118460 130306 142152 177690 195459 236280 236920 260612 325765 355380 390918 521224 651530 710760 781836 977295 1060217 1303060 1563672 1954590 2120434 2606120 3180651 3909180 4240868 5301085 6361302 7818360 8481736 10602170 11662387 12722604 15903255 21204340 23324774 25445208 31806510 34987161 42408680 46649548 58311935 63613020 69974322 93299096 116623870 127226040 139948644 174935805 233247740 279897288 349871610 466495480 699743220 1399486440