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10414124 = 22723103157
BaseRepresentation
bin100111101110…
…100000101100
3201121002111022
4213232200230
510131222444
61011113312
7154342610
oct47564054
921532438
1010414124
115973316
1235a2838
132208206
141551340
15daa9ee
hex9ee82c

10414124 has 48 divisors (see below), whose sum is σ = 22084608. Its totient is φ = 4200768.

The previous prime is 10414097. The next prime is 10414133. The reversal of 10414124 is 42141401.

10414124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66254 + ... + 66410.

It is an arithmetic number, because the mean of its divisors is an integer number (460096).

Almost surely, 210414124 is an apocalyptic number.

10414124 is a gapful number since it is divisible by the number (14) 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 10414124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042304).

10414124 is an abundant number, since it is smaller than the sum of its proper divisors (11670484).

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

10414124 is a wasteful number, since it uses less digits than its factorization.

10414124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10414124 is about 3227.0921895725. The cubic root of 10414124 is about 218.3773449466.

Adding to 10414124 its reverse (42141401), we get a palindrome (52555525).

The spelling of 10414124 in words is "ten million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 103 157 161 206 314 322 412 628 644 721 1099 1442 2198 2369 2884 3611 4396 4738 7222 9476 14444 16171 16583 25277 32342 33166 50554 64684 66332 101108 113197 226394 371933 452788 743866 1487732 2603531 5207062 10414124