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10689390 = 2325731627
BaseRepresentation
bin101000110001…
…101101101110
3202010002002100
4220301231232
510214030030
61021035530
7156600255
oct50615556
922102070
1010689390
116041108
1236b5ba6
1322a35aa
1415c379c
15e12360
hexa31b6e

10689390 has 48 divisors (see below), whose sum is σ = 28190448. Its totient is φ = 2809728.

The previous prime is 10689383. The next prime is 10689391. The reversal of 10689390 is 9398601.

It is a super-2 number, since 2×106893902 = 228526117144200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689391) 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 23 ways as a sum of consecutive naturals, for example, 5757 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (587301).

Almost surely, 210689390 is an apocalyptic number.

10689390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10689390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095224).

10689390 is an abundant number, since it is smaller than the sum of its proper divisors (17501058).

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

10689390 is a wasteful number, since it uses less digits than its factorization.

10689390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10689390 is about 3269.4632587016. The cubic root of 10689390 is about 220.2846865447.

The spelling of 10689390 in words is "ten million, six hundred eighty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 1627 2190 3254 3285 4881 6570 8135 9762 14643 16270 24405 29286 48810 73215 118771 146430 237542 356313 593855 712626 1068939 1187710 1781565 2137878 3563130 5344695 10689390