Search a number
-
+
10309440 = 263510739
BaseRepresentation
bin100111010100…
…111101000000
3201101202220010
4213110331000
510114400230
61004544520
7153425451
oct47247500
921352803
1010309440
1159016a9
123552140
13219c67b
141525128
15d899b0
hex9d4f40

10309440 has 56 divisors (see below), whose sum is σ = 32735520. Its totient is φ = 2748928.

The previous prime is 10309433. The next prime is 10309447. The reversal of 10309440 is 4490301.

It is an interprime number because it is at equal distance from previous prime (10309433) and next prime (10309447).

It is a super-2 number, since 2×103094402 = 212569106227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4410 + ... + 6329.

Almost surely, 210309440 is an apocalyptic number.

10309440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10309440 is an abundant number, since it is smaller than the sum of its proper divisors (22426080).

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

10309440 is a wasteful number, since it uses less digits than its factorization.

10309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10309440 is about 3210.8316679639. The cubic root of 10309440 is about 217.6431611327.

Adding to 10309440 its reverse (4490301), we get a palindrome (14799741).

The spelling of 10309440 in words is "ten million, three hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10739 21478 32217 42956 53695 64434 85912 107390 128868 161085 171824 214780 257736 322170 343648 429560 515472 644340 687296 859120 1030944 1288680 1718240 2061888 2577360 3436480 5154720 10309440