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10240384 = 277111039
BaseRepresentation
bin100111000100…
…000110000000
3201021021011111
4213010012000
510110143014
61003253104
7153020230
oct47040600
921237144
1010240384
115864830
12351a194
1321770cb
141507cc0
15d742c4
hex9c4180

10240384 has 64 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 3985920.

The previous prime is 10240369. The next prime is 10240397. The reversal of 10240384 is 48304201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9337 + ... + 10375.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 210240384 is an apocalyptic number.

10240384 is a gapful number since it is divisible by the number (14) 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 10240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

10240384 is an abundant number, since it is smaller than the sum of its proper divisors (15218816).

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

10240384 is a wasteful number, since it uses less digits than its factorization.

10240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10240384 is about 3200.0599994375. The cubic root of 10240384 is about 217.1561237113.

Adding to 10240384 its reverse (48304201), we get a palindrome (58544585).

The spelling of 10240384 in words is "ten million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1039 1232 1408 2078 2464 4156 4928 7273 8312 9856 11429 14546 16624 22858 29092 33248 45716 58184 66496 80003 91432 116368 132992 160006 182864 232736 320012 365728 465472 640024 731456 930944 1280048 1462912 2560096 5120192 10240384