Search a number
-
+
10693440 = 263254779
BaseRepresentation
bin101000110010…
…101101000000
3202010021122100
4220302231000
510214142230
61021110400
7156615132
oct50625500
922107570
1010693440
11604415a
1236b8400
1322a53a4
1415c5052
15e13660
hexa32b40

10693440 has 168 divisors, whose sum is σ = 38039040. Its totient is φ = 2755584.

The previous prime is 10693421. The next prime is 10693451. The reversal of 10693440 is 4439601.

It is a super-2 number, since 2×106934402 = 228699318067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135321 + ... + 135399.

Almost surely, 210693440 is an apocalyptic number.

10693440 is a gapful number since it is divisible by the number (10) 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 10693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

10693440 is an abundant number, since it is smaller than the sum of its proper divisors (27345600).

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

10693440 is a wasteful number, since it uses less digits than its factorization.

10693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10693440 is about 3270.0825677649. The cubic root of 10693440 is about 220.3125035461.

The spelling of 10693440 in words is "ten million, six hundred ninety-three thousand, four hundred forty".