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10684386 = 234101653
BaseRepresentation
bin101000110000…
…011111100010
3202002211020000
4220300133202
510213400021
61021000430
7156546546
oct50603742
922084200
1010684386
116038379
1236b3116
1322a122b
1415c1a26
15e10b26
hexa307e2

10684386 has 40 divisors (see below), whose sum is σ = 24215004. Its totient is φ = 3520800.

The previous prime is 10684357. The next prime is 10684391. The reversal of 10684386 is 68348601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10439361 + 245025 = 3231^2 + 495^2 .

It is a super-2 number, since 2×106843862 = 228312208393992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10684386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16036 + ... + 16688.

Almost surely, 210684386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10684386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107502).

10684386 is an abundant number, since it is smaller than the sum of its proper divisors (13530618).

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

10684386 is a wasteful number, since it uses less digits than its factorization.

10684386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10684386 is about 3268.6979058946. The cubic root of 10684386 is about 220.2503073885.

It can be divided in two parts, 106843 and 86, that added together give a square (106929 = 3272).

The spelling of 10684386 in words is "ten million, six hundred eighty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 653 909 1306 1818 1959 2727 3918 5454 5877 8181 11754 16362 17631 35262 52893 65953 105786 131906 197859 395718 593577 1187154 1780731 3561462 5342193 10684386