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10271340 = 2233523827
BaseRepresentation
bin100111001011…
…101001101100
3201022211122000
4213023221230
510112140330
61004052300
7153206412
oct47135154
921284560
1010271340
115886012
123534090
132188221
1415152b2
15d7d560
hex9cba6c

10271340 has 96 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2616768.

The previous prime is 10271329. The next prime is 10271341. The reversal of 10271340 is 4317201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10271341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12007 + ... + 12833.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 210271340 is an apocalyptic number.

10271340 is a gapful number since it is divisible by the number (10) 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 10271340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

10271340 is an abundant number, since it is smaller than the sum of its proper divisors (23113620).

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

10271340 is a wasteful number, since it uses less digits than its factorization.

10271340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10271340 is about 3204.8931339438. The cubic root of 10271340 is about 217.3747197667.

Adding to 10271340 its reverse (4317201), we get a palindrome (14588541).

The spelling of 10271340 in words is "ten million, two hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 827 828 1035 1242 1380 1654 2070 2481 2484 3105 3308 4135 4140 4962 6210 7443 8270 9924 12405 12420 14886 16540 19021 22329 24810 29772 37215 38042 44658 49620 57063 74430 76084 89316 95105 111645 114126 148860 171189 190210 223290 228252 285315 342378 380420 446580 513567 570630 684756 855945 1027134 1141260 1711890 2054268 2567835 3423780 5135670 10271340