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1386485520 = 243574120129
BaseRepresentation
bin101001010100100…
…0001011100010000
310120121220202120120
41102221001130100
510314420014040
6345325110240
746233634560
oct12251013420
93517822516
101386485520
116516a9102
123283b8380
13191329344
14d21d4da0
1581ac57d0
hex52a41710

1386485520 has 160 divisors (see below), whose sum is σ = 5032177920. Its totient is φ = 309166080.

The previous prime is 1386485519. The next prime is 1386485539. The reversal of 1386485520 is 255846831.

1386485520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 58816 + ... + 78944.

It is an arithmetic number, because the mean of its divisors is an integer number (31451112).

Almost surely, 21386485520 is an apocalyptic number.

1386485520 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 1386485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516088960).

1386485520 is an abundant number, since it is smaller than the sum of its proper divisors (3645692400).

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

1386485520 is a wasteful number, since it uses less digits than its factorization.

1386485520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1386485520 is about 37235.5410864405. The cubic root of 1386485520 is about 1115.0776541732.

The spelling of 1386485520 in words is "one billion, three hundred eighty-six million, four hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 20129 22960 34440 40258 60387 68880 80516 100645 120774 140903 161032 201290 241548 281806 301935 322064 402580 422709 483096 563612 603870 704515 805160 825289 845418 966192 1127224 1207740 1409030 1610320 1650578 1690836 2113545 2254448 2415480 2475867 2818060 3301156 3381672 4126445 4227090 4830960 4951734 5636120 5777023 6602312 6763344 8252890 8454180 9903468 11272240 11554046 12379335 13204624 16505780 16908360 17331069 19806936 23108092 24758670 28885115 33011560 33816720 34662138 39613872 46216184 49517340 57770230 66023120 69324276 86655345 92432368 99034680 115540460 138648552 173310690 198069360 231080920 277297104 346621380 462161840 693242760 1386485520