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255001020 = 22351753289
BaseRepresentation
bin11110011001100…
…00000110111100
3122202211101122020
433030300012330
51010240013040
641145320140
76214321131
oct1714600674
9582741566
10255001020
11120a3a04a
1271496050
1340aa3aa1
1425c1c588
15175c0cd0
hexf3301bc

255001020 has 144 divisors (see below), whose sum is σ = 779194080. Its totient is φ = 62087168.

The previous prime is 255001001. The next prime is 255001039. The reversal of 255001020 is 20100552.

255001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255001001) and next prime (255001039).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2865136 + ... + 2865224.

It is an arithmetic number, because the mean of its divisors is an integer number (5411070).

Almost surely, 2255001020 is an apocalyptic number.

255001020 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 255001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389597040).

255001020 is an abundant number, since it is smaller than the sum of its proper divisors (524193060).

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

255001020 is a wasteful number, since it uses less digits than its factorization.

255001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 255001020 is about 15968.7513600782. The cubic root of 255001020 is about 634.1334160475.

Adding to 255001020 its reverse (20100552), we get a palindrome (275101572).

It can be divided in two parts, 25500 and 1020, that multiplied together give a square (26010000 = 51002).

The spelling of 255001020 in words is "two hundred fifty-five million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 89 102 106 159 170 178 204 212 255 265 267 318 340 356 445 510 530 534 636 795 890 901 1020 1060 1068 1335 1513 1590 1780 1802 2670 2703 2809 3026 3180 3604 4505 4539 4717 5340 5406 5618 6052 7565 8427 9010 9078 9434 10812 11236 13515 14045 14151 15130 16854 18020 18156 18868 22695 23585 27030 28090 28302 30260 33708 42135 45390 47170 47753 54060 56180 56604 70755 80189 84270 90780 94340 95506 141510 143259 160378 168540 191012 238765 240567 250001 283020 286518 320756 400945 477530 481134 500002 573036 716295 750003 801890 955060 962268 1000004 1202835 1250005 1432590 1500006 1603780 2405670 2500010 2865180 3000012 3750015 4250017 4811340 5000020 7500030 8500034 12750051 15000060 17000068 21250085 25500102 42500170 51000204 63750255 85000340 127500510 255001020