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427111230 = 235713179203
BaseRepresentation
bin11001011101010…
…011001100111110
31002202200111110110
4121131103030332
51333320024410
6110214250450
713404246150
oct3135231476
91082614413
10427111230
111aa102a97
12bb056a26
136a644750
1440a20ad0
152776b720
hex1975333e

427111230 has 128 divisors (see below), whose sum is σ = 1335979008. Its totient is φ = 84805632.

The previous prime is 427111229. The next prime is 427111253. The reversal of 427111230 is 32111724.

It is a super-2 number, since 2×4271112302 = 364848005584225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 427111197 and 427111206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41809 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (10437336).

Almost surely, 2427111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667989504).

427111230 is an abundant number, since it is smaller than the sum of its proper divisors (908867778).

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

427111230 is a wasteful number, since it uses less digits than its factorization.

427111230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 427111230 is about 20666.6695430106. The cubic root of 427111230 is about 753.0902011664.

Adding to 427111230 its reverse (32111724), we get a palindrome (459222954).

The spelling of 427111230 in words is "four hundred twenty-seven million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1105 1190 1326 1365 1547 1785 2210 2730 3094 3315 3570 4641 6630 7735 9203 9282 15470 18406 23205 27609 46015 46410 55218 64421 92030 119639 128842 138045 156451 193263 239278 276090 312902 322105 358917 386526 469353 598195 644210 717834 782255 837473 938706 966315 1095157 1196390 1564510 1674946 1794585 1932630 2033863 2190314 2346765 2512419 3285471 3589170 4067726 4187365 4693530 5024838 5475785 6101589 6570942 8374730 10169315 10951570 12203178 12562095 14237041 16427355 20338630 25124190 28474082 30507945 32854710 42711123 61015890 71185205 85422246 142370410 213555615 427111230