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1399029840 = 243351349823
BaseRepresentation
bin101001101100011…
…1000000001010000
310121111112002011000
41103120320001100
510331122423330
6350454022000
746445362125
oct12330700120
93544462130
101399029840
1165879690a
12330647900
13193acc010
14d3b3c74c
1582c52560
hex53638050

1399029840 has 160 divisors (see below), whose sum is σ = 5189667840. Its totient is φ = 344369664.

The previous prime is 1399029781. The next prime is 1399029851. The reversal of 1399029840 is 489209931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169 + ... + 52991.

It is an arithmetic number, because the mean of its divisors is an integer number (32435424).

Almost surely, 21399029840 is an apocalyptic number.

1399029840 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 1399029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594833920).

1399029840 is an abundant number, since it is smaller than the sum of its proper divisors (3790638000).

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

1399029840 is a wasteful number, since it uses less digits than its factorization.

1399029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49858 (or 49846 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1399029840 is about 37403.6073126644. The cubic root of 1399029840 is about 1118.4304758775.

The spelling of 1399029840 in words is "one billion, three hundred ninety-nine million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 49823 99646 149469 199292 249115 298938 398584 448407 498230 597876 647699 747345 797168 896814 996460 1195752 1295398 1345221 1494690 1793628 1943097 1992920 2242035 2391504 2590796 2690442 2989380 3238495 3587256 3886194 3985840 4484070 5181592 5380884 5829291 5978760 6476990 6726105 7174512 7772388 8968140 9715485 10363184 10761768 11658582 11957520 12953980 13452210 15544776 17487873 17936280 19430970 21523536 23317164 25907960 26904420 29146455 31089552 34975746 35872560 38861940 46634328 51815920 53808840 58292910 69951492 77723880 87439365 93268656 107617680 116585820 139902984 155447760 174878730 233171640 279805968 349757460 466343280 699514920 1399029840