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10324240 = 2452331181
BaseRepresentation
bin100111011000…
…100100010000
3201102112012021
4213120210100
510120333430
61005141224
7153516553
oct47304420
921375167
1010324240
115911833
12355a814
1321a6324
14152a69a
15d8e07a
hex9d8910

10324240 has 80 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 3801600.

The previous prime is 10324229. The next prime is 10324243. The reversal of 10324240 is 4242301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10324243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56950 + ... + 57130.

Almost surely, 210324240 is an apocalyptic number.

10324240 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 10324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

10324240 is an abundant number, since it is smaller than the sum of its proper divisors (15674096).

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

10324240 is a wasteful number, since it uses less digits than its factorization.

10324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10324240 is about 3213.1355402473. The cubic root of 10324240 is about 217.7472592093.

Adding to 10324240 its reverse (4242301), we get a palindrome (14566541).

The spelling of 10324240 in words is "ten million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 181 184 230 248 310 362 368 460 496 620 713 724 905 920 1240 1426 1448 1810 1840 2480 2852 2896 3565 3620 4163 5611 5704 7130 7240 8326 11222 11408 14260 14480 16652 20815 22444 28055 28520 33304 41630 44888 56110 57040 66608 83260 89776 112220 129053 166520 224440 258106 333040 448880 516212 645265 1032424 1290530 2064848 2581060 5162120 10324240