Search a number
-
+
10414602 = 2331189197
BaseRepresentation
bin100111101110…
…101000001010
3201121010011000
4213232220022
510131231402
61011115430
7154344162
oct47565012
921533130
1010414602
115973710
1235a2b76
1322084b3
1415515a2
15daac1c
hex9eea0a

10414602 has 64 divisors (see below), whose sum is σ = 25660800. Its totient is φ = 3104640.

The previous prime is 10414597. The next prime is 10414609. The reversal of 10414602 is 20641401.

10414602 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 not an unprimeable number, because it can be changed into a prime (10414609) 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, 52768 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 210414602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830400).

10414602 is an abundant number, since it is smaller than the sum of its proper divisors (15246198).

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

10414602 is a wasteful number, since it uses less digits than its factorization.

10414602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

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

The square root of 10414602 is about 3227.1662492038. The cubic root of 10414602 is about 218.3806860109.

It can be divided in two parts, 104 and 14602, that added together give a triangular number (14706 = T171).

The spelling of 10414602 in words is "ten million, four hundred fourteen thousand, six hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 89 99 178 197 198 267 297 394 534 591 594 801 979 1182 1602 1773 1958 2167 2403 2937 3546 4334 4806 5319 5874 6501 8811 10638 13002 17533 17622 19503 26433 35066 39006 52599 52866 58509 105198 117018 157797 192863 315594 385726 473391 578589 946782 1157178 1735767 3471534 5207301 10414602