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10241720 = 235534831
BaseRepresentation
bin100111000100…
…011010111000
3201021022222222
4213010122320
510110213340
61003303212
7153024146
oct47043270
921238888
1010241720
115865835
12351ab08
1321778b8
141508596
15d748b5
hex9c46b8

10241720 has 32 divisors (see below), whose sum is σ = 23483520. Its totient is φ = 4018560.

The previous prime is 10241689. The next prime is 10241731. The reversal of 10241720 is 2714201.

It is a congruent number.

It is an unprimeable number.

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, 296 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (733860).

Almost surely, 210241720 is an apocalyptic number.

10241720 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 10241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741760).

10241720 is an abundant number, since it is smaller than the sum of its proper divisors (13241800).

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

10241720 is a wasteful number, since it uses less digits than its factorization.

10241720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10241720 is about 3200.2687387155. The cubic root of 10241720 is about 217.1655669758.

Adding to 10241720 its reverse (2714201), we get a palindrome (12955921).

It can be divided in two parts, 1024 and 1720, that added together give a cube (2744 = 143).

The spelling of 10241720 in words is "ten million, two hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4831 9662 19324 24155 38648 48310 96620 193240 256043 512086 1024172 1280215 2048344 2560430 5120860 10241720