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10414668 = 22311257307
BaseRepresentation
bin100111101110…
…101001001100
3201121010020110
4213232221030
510131232133
61011120020
7154344315
oct47565114
921533213
1010414668
115973770
1235a3010
132208534
14155160c
15daac63
hex9eea4c

10414668 has 48 divisors (see below), whose sum is σ = 26699904. Its totient is φ = 3133440.

The previous prime is 10414637. The next prime is 10414669. The reversal of 10414668 is 86641401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414669) 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 15 ways as a sum of consecutive naturals, for example, 33771 + ... + 34077.

It is an arithmetic number, because the mean of its divisors is an integer number (556248).

Almost surely, 210414668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349952).

10414668 is an abundant number, since it is smaller than the sum of its proper divisors (16285236).

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

10414668 is a wasteful number, since it uses less digits than its factorization.

10414668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10414668 is about 3227.1764748771. The cubic root of 10414668 is about 218.3811473214.

The spelling of 10414668 in words is "ten million, four hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 307 514 614 771 921 1028 1228 1542 1842 2827 3084 3377 3684 5654 6754 8481 10131 11308 13508 16962 20262 33924 40524 78899 157798 236697 315596 473394 867889 946788 1735778 2603667 3471556 5207334 10414668