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1327836020 = 225731378269
BaseRepresentation
bin100111100100101…
…0010101101110100
310102112120001120212
41033021102231310
510204411223040
6335432044552
744622264020
oct11711225564
93375501525
101327836020
1162158a945
12310833758
13182132cb4
14c84c9380
157b88cd65
hex4f252b74

1327836020 has 96 divisors (see below), whose sum is σ = 3378923520. Its totient is φ = 428613120.

The previous prime is 1327836019. The next prime is 1327836031. The reversal of 1327836020 is 206387231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156446 + ... + 164714.

It is an arithmetic number, because the mean of its divisors is an integer number (35197120).

Almost surely, 21327836020 is an apocalyptic number.

1327836020 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 1327836020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689461760).

1327836020 is an abundant number, since it is smaller than the sum of its proper divisors (2051087500).

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

1327836020 is a wasteful number, since it uses less digits than its factorization.

1327836020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1327836020 is about 36439.4843542002. The cubic root of 1327836020 is about 1099.1276885962.

The spelling of 1327836020 in words is "one billion, three hundred twenty-seven million, eight hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 37 62 70 74 124 140 148 155 185 217 259 310 370 434 518 620 740 868 1036 1085 1147 1295 2170 2294 2590 4340 4588 5180 5735 8029 8269 11470 16058 16538 22940 32116 33076 40145 41345 57883 80290 82690 115766 160580 165380 231532 256339 289415 305953 512678 578830 611906 1025356 1157660 1223812 1281695 1529765 1794373 2141671 2563390 3059530 3588746 4283342 5126780 6119060 7177492 8566684 8971865 9484543 10708355 17943730 18969086 21416710 35887460 37938172 42833420 47422715 66391801 94845430 132783602 189690860 265567204 331959005 663918010 1327836020