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31428270 = 2335432707
BaseRepresentation
bin111011111100…
…0111010101110
32012010201111000
41313320322232
531021201040
63041341130
7531064416
oct167707256
965121430
1031428270
1116816585
12a6377a6
136685113
144261646
152b5c130
hex1df8eae

31428270 has 64 divisors (see below), whose sum is σ = 85789440. Its totient is φ = 8182944.

The previous prime is 31428259. The next prime is 31428277. The reversal of 31428270 is 7282413.

31428270 is a `hidden beast` number, since 314 + 282 + 70 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31428277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10257 + ... + 12963.

It is an arithmetic number, because the mean of its divisors is an integer number (1340460).

Almost surely, 231428270 is an apocalyptic number.

31428270 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 31428270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42894720).

31428270 is an abundant number, since it is smaller than the sum of its proper divisors (54361170).

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

31428270 is a wasteful number, since it uses less digits than its factorization.

31428270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 31428270 is about 5606.0922218601. The cubic root of 31428270 is about 315.5780768070.

The spelling of 31428270 in words is "thirty-one million, four hundred twenty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 2707 3870 5414 5805 8121 11610 13535 16242 24363 27070 40605 48726 73089 81210 116401 121815 146178 232802 243630 349203 365445 582005 698406 730890 1047609 1164010 1746015 2095218 3142827 3492030 5238045 6285654 10476090 15714135 31428270