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1389466320 = 2435112811873
BaseRepresentation
bin101001011010001…
…1001001011010000
310120211112012110120
41102310121023100
510321200410240
6345513030240
746301161134
oct12264311320
93524465416
101389466320
11653354680
123293b5380
13191b31028
14d276d3c4
1581eb3ad0
hex52d192d0

1389466320 has 160 divisors (see below), whose sum is σ = 4718162304. Its totient is φ = 335462400.

The previous prime is 1389466313. The next prime is 1389466327. The reversal of 1389466320 is 236649831.

It is an interprime number because it is at equal distance from previous prime (1389466313) and next prime (1389466327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1389466327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740904 + ... + 742776.

Almost surely, 21389466320 is an apocalyptic number.

1389466320 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 1389466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359081152).

1389466320 is an abundant number, since it is smaller than the sum of its proper divisors (3328695984).

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

1389466320 is a wasteful number, since it uses less digits than its factorization.

1389466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1389466320 is about 37275.5458712545. The cubic root of 1389466320 is about 1115.8761826122.

The spelling of 1389466320 in words is "one billion, three hundred eighty-nine million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 281 330 440 528 562 660 843 880 1124 1320 1405 1686 1873 2248 2640 2810 3091 3372 3746 4215 4496 5619 5620 6182 6744 7492 8430 9273 9365 11238 11240 12364 13488 14984 15455 16860 18546 18730 20603 22476 22480 24728 28095 29968 30910 33720 37092 37460 41206 44952 46365 49456 56190 61809 61820 67440 74184 74920 82412 89904 92730 103015 112380 123618 123640 148368 149840 164824 185460 206030 224760 247236 247280 309045 329648 370920 412060 449520 494472 526313 618090 741840 824120 988944 1052626 1236180 1578939 1648240 2105252 2472360 2631565 3157878 4210504 4944720 5263130 5789443 6315756 7894695 8421008 10526260 11578886 12631512 15789390 17368329 21052520 23157772 25263024 28947215 31578780 34736658 42105040 46315544 57894430 63157560 69473316 86841645 92631088 115788860 126315120 138946632 173683290 231577720 277893264 347366580 463155440 694733160 1389466320