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31428810 = 2345723241
BaseRepresentation
bin111011111100…
…1000011001010
32012010202020000
41313321003022
531021210220
63041343430
7531066120
oct167710312
965122200
1031428810
1116816a26
12a637b76
13668543a
144261910
152b5c390
hex1df90ca

31428810 has 160 divisors (see below), whose sum is σ = 101198592. Its totient is φ = 6842880.

The previous prime is 31428809. The next prime is 31428811. The reversal of 31428810 is 1882413.

It is an interprime number because it is at equal distance from previous prime (31428809) and next prime (31428811).

It is a super-3 number, since 3×314288103 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31428811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130290 + ... + 130530.

Almost surely, 231428810 is an apocalyptic number.

31428810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31428810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50599296).

31428810 is an abundant number, since it is smaller than the sum of its proper divisors (69769782).

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

31428810 is a wasteful number, since it uses less digits than its factorization.

31428810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 31428810 is about 5606.1403835437. The cubic root of 31428810 is about 315.5798842157.

The spelling of 31428810 in words is "thirty-one million, four hundred twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 241 270 315 322 345 378 405 414 482 483 567 621 630 690 723 805 810 945 966 1035 1134 1205 1242 1446 1449 1610 1687 1863 1890 2070 2169 2410 2415 2835 2898 3105 3374 3615 3726 4338 4347 4830 5061 5543 5670 6210 6507 7230 7245 8435 8694 9315 10122 10845 11086 13014 13041 14490 15183 16629 16870 18630 19521 21690 21735 25305 26082 27715 30366 32535 33258 38801 39042 43470 45549 49887 50610 55430 65070 65205 75915 77602 83145 91098 97605 99774 116403 130410 136647 149661 151830 166290 194005 195210 227745 232806 249435 273294 299322 349209 388010 448983 455490 498870 582015 683235 698418 748305 897966 1047627 1164030 1366470 1496610 1746045 2095254 2244915 3142881 3492090 4489830 5238135 6285762 10476270 15714405 31428810