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2028364520 = 2357131732779
BaseRepresentation
bin111100011100110…
…0110001011101000
312020100201121000212
41320321212023220
513123230131040
6533134520252
7101156546120
oct17071461350
95210647025
102028364520
11950a60316
12487366088
132642c8ac0
1415355dc80
15bd116d65
hex78e662e8

2028364520 has 128 divisors (see below), whose sum is σ = 5947603200. Its totient is φ = 604164096.

The previous prime is 2028364519. The next prime is 2028364529. The reversal of 2028364520 is 254638202.

It is a super-2 number, since 2×20283645202 = 8228525251989660800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028364529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45491 + ... + 78269.

It is an arithmetic number, because the mean of its divisors is an integer number (46465650).

Almost surely, 22028364520 is an apocalyptic number.

2028364520 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 2028364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973801600).

2028364520 is an abundant number, since it is smaller than the sum of its proper divisors (3919238680).

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

2028364520 is a wasteful number, since it uses less digits than its factorization.

2028364520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32827 (or 32823 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2028364520 is about 45037.3680403285. The cubic root of 2028364520 is about 1265.8492882958.

The spelling of 2028364520 in words is "two billion, twenty-eight million, three hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 30940 32779 61880 65558 131116 163895 229453 262232 327790 426127 458906 557243 655580 852254 917812 1114486 1147265 1311160 1704508 1835624 2130635 2228972 2294530 2786215 2982889 3409016 3900701 4261270 4457944 4589060 5572430 5965778 7244159 7801402 8522540 9178120 11144860 11931556 14488318 14914445 15602804 17045080 19503505 22289720 23863112 28976636 29828890 31205608 36220795 39007010 50709113 57953272 59657780 72441590 78014020 101418226 119315560 144883180 156028040 202836452 253545565 289766360 405672904 507091130 1014182260 2028364520