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10240320 = 263510667
BaseRepresentation
bin100111000100…
…000101000000
3201021021002010
4213010011000
510110142240
61003252520
7153020106
oct47040500
921237063
1010240320
115864782
12351a140
13217707c
141507c76
15d74280
hex9c4140

10240320 has 56 divisors (see below), whose sum is σ = 32516064. Its totient is φ = 2730496.

The previous prime is 10240319. The next prime is 10240327. The reversal of 10240320 is 2304201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10240296 and 10240305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240327) by changing a digit.

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, 4374 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (580644).

Almost surely, 210240320 is an apocalyptic number.

10240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240320 is an abundant number, since it is smaller than the sum of its proper divisors (22275744).

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

10240320 is a wasteful number, since it uses less digits than its factorization.

10240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10240320 is about 3200.0499996094. The cubic root of 10240320 is about 217.1556713187.

Adding to 10240320 its reverse (2304201), we get a palindrome (12544521).

The spelling of 10240320 in words is "ten million, two hundred forty thousand, three hundred twenty".

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 10667 21334 32001 42668 53335 64002 85336 106670 128004 160005 170672 213340 256008 320010 341344 426680 512016 640020 682688 853360 1024032 1280040 1706720 2048064 2560080 3413440 5120160 10240320