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270328020 = 223547257373
BaseRepresentation
bin10000000111001…
…110000011010100
3200211200002022220
4100013032003110
51023200444040
642454022340
76461515224
oct2007160324
9624602286
10270328020
11129658496
12766479b0
134400c211
1427c8c084
1518aec2d0
hex101ce0d4

270328020 has 96 divisors (see below), whose sum is σ = 778111488. Its totient is φ = 70090752.

The previous prime is 270328007. The next prime is 270328043. The reversal of 270328020 is 20823072.

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, 724554 + ... + 724926.

It is an arithmetic number, because the mean of its divisors is an integer number (8105328).

Almost surely, 2270328020 is an apocalyptic number.

270328020 is a gapful number since it is divisible by the number (20) 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 270328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389055744).

270328020 is an abundant number, since it is smaller than the sum of its proper divisors (507783468).

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

270328020 is a wasteful number, since it uses less digits than its factorization.

270328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 270328020 is about 16441.6550261827. The cubic root of 270328020 is about 646.5920409628.

The spelling of 270328020 in words is "two hundred seventy million, three hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 257 282 373 470 514 564 705 746 771 940 1028 1119 1285 1410 1492 1542 1865 2238 2570 2820 3084 3730 3855 4476 5140 5595 7460 7710 11190 12079 15420 17531 22380 24158 35062 36237 48316 52593 60395 70124 72474 87655 95861 105186 120790 144948 175310 181185 191722 210372 241580 262965 287583 350620 362370 383444 479305 525930 575166 724740 958610 1051860 1150332 1437915 1917220 2875830 4505467 5751660 9010934 13516401 18021868 22527335 27032802 45054670 54065604 67582005 90109340 135164010 270328020