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10280214 = 232783983
BaseRepresentation
bin100111001101…
…110100010110
3201100021210200
4213031310112
510112431324
61004201330
7153244320
oct47156426
921307720
1010280214
11589174a
123539246
13218c289
141518610
15d80ec9
hex9cdd16

10280214 has 48 divisors (see below), whose sum is σ = 25788672. Its totient is φ = 2898864.

The previous prime is 10280213. The next prime is 10280227. The reversal of 10280214 is 41208201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280213) 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 23 ways as a sum of consecutive naturals, for example, 9967 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 210280214 is an apocalyptic number.

10280214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10280214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894336).

10280214 is an abundant number, since it is smaller than the sum of its proper divisors (15508458).

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

10280214 is a wasteful number, since it uses less digits than its factorization.

10280214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10280214 is about 3206.2772805857. The cubic root of 10280214 is about 217.4373025783.

Adding to 10280214 its reverse (41208201), we get a palindrome (51488415).

The spelling of 10280214 in words is "ten million, two hundred eighty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 983 1162 1494 1743 1966 2949 3486 5229 5898 6881 8847 10458 13762 17694 20643 41286 61929 81589 123858 163178 244767 489534 571123 734301 1142246 1468602 1713369 3426738 5140107 10280214