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10721214 = 2337113251
BaseRepresentation
bin101000111001…
…011110111110
3202011200202000
4220321132332
510221034324
61021443130
7160062120
oct50713676
922150660
1010721214
116063009
1237104a6
1322b4c1a
1415d1210
15e1b9c9
hexa397be

10721214 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3024000.

The previous prime is 10721159. The next prime is 10721219. The reversal of 10721214 is 41212701.

It is a super-2 number, since 2×107212142 = 229888859267592, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42589 + ... + 42839.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 210721214 is an apocalyptic number.

10721214 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 10721214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10721214 is an abundant number, since it is smaller than the sum of its proper divisors (16857666).

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

10721214 is a wasteful number, since it uses less digits than its factorization.

10721214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10721214 is about 3274.3264956323. The cubic root of 10721214 is about 220.5030773785.

Adding to 10721214 its reverse (41212701), we get a palindrome (51933915).

It can be divided in two parts, 107 and 21214, that added together give a triangular number (21321 = T206).

The spelling of 10721214 in words is "ten million, seven hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 251 339 378 502 678 753 791 1017 1506 1582 1757 2034 2259 2373 3051 3514 4518 4746 5271 6102 6777 7119 10542 13554 14238 15813 21357 28363 31626 42714 47439 56726 85089 94878 170178 198541 255267 397082 510534 595623 765801 1191246 1531602 1786869 3573738 5360607 10721214