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1339821540 = 223353137927
BaseRepresentation
bin100111111011100…
…0000110111100100
310110101002222122000
41033313000313210
510220443242130
6340541005300
745126203151
oct11767006744
93411088560
101339821540
11628326832
12314853830
1318476b515
14c9d29228
157c959260
hex4fdc0de4

1339821540 has 96 divisors (see below), whose sum is σ = 4182178560. Its totient is φ = 356099328.

The previous prime is 1339821533. The next prime is 1339821667. The reversal of 1339821540 is 451289331.

1339821540 is a `hidden beast` number, since 1 + 3 + 3 + 98 + 21 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1339821495 and 1339821504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165057 + ... + 172983.

It is an arithmetic number, because the mean of its divisors is an integer number (43564360).

Almost surely, 21339821540 is an apocalyptic number.

1339821540 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 1339821540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091089280).

1339821540 is an abundant number, since it is smaller than the sum of its proper divisors (2842357020).

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

1339821540 is a wasteful number, since it uses less digits than its factorization.

1339821540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1339821540 is about 36603.5727764381. The cubic root of 1339821540 is about 1102.4248271204.

The spelling of 1339821540 in words is "one billion, three hundred thirty-nine million, eight hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 313 540 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 7927 8451 9390 11268 14085 15854 16902 18780 23781 28170 31708 33804 39635 42255 47562 56340 71343 79270 84510 95124 118905 142686 158540 169020 214029 237810 285372 356715 428058 475620 713430 856116 1070145 1426860 2140290 2481151 4280580 4962302 7443453 9924604 12405755 14886906 22330359 24811510 29773812 37217265 44660718 49623020 66991077 74434530 89321436 111651795 133982154 148869060 223303590 267964308 334955385 446607180 669910770 1339821540