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10406214 = 2327136353
BaseRepresentation
bin100111101100…
…100101000110
3201120200122100
4213230211012
510130444324
61011012530
7154310550
oct47544506
921520570
1010406214
115968385
12359a146
132204730
14154c4d0
15da84c9
hex9ec946

10406214 has 48 divisors (see below), whose sum is σ = 27754272. Its totient is φ = 2744064.

The previous prime is 10406197. The next prime is 10406219. The reversal of 10406214 is 41260401.

10406214 is a `hidden beast` number, since 1 + 0 + 40 + 621 + 4 = 666.

10406214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10406219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (578214).

Almost surely, 210406214 is an apocalyptic number.

10406214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10406214 is an abundant number, since it is smaller than the sum of its proper divisors (17348058).

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

10406214 is a wasteful number, since it uses less digits than its factorization.

10406214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10406214 is about 3225.8663952495. The cubic root of 10406214 is about 218.3220417731.

Adding to 10406214 its reverse (41260401), we get a palindrome (51666615).

The spelling of 10406214 in words is "ten million, four hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 6353 12706 19059 38118 44471 57177 82589 88942 114354 133413 165178 247767 266826 400239 495534 578123 743301 800478 1156246 1486602 1734369 3468738 5203107 10406214