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10241040 = 243571601
BaseRepresentation
bin100111000100…
…010000010000
3201021022001210
4213010100100
510110203130
61003300120
7153022155
oct47042020
921238053
1010241040
115865277
12351a640
1321774b4
14150822c
15d745b0
hex9c4410

10241040 has 80 divisors (see below), whose sum is σ = 32247936. Its totient is φ = 2688000.

The previous prime is 10241039. The next prime is 10241053. The reversal of 10241040 is 4014201.

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 (12).

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 15 ways as a sum of consecutive naturals, for example, 16740 + ... + 17340.

Almost surely, 210241040 is an apocalyptic number.

10241040 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 10241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123968).

10241040 is an abundant number, since it is smaller than the sum of its proper divisors (22006896).

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

10241040 is a wasteful number, since it uses less digits than its factorization.

10241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10241040 is about 3200.1624958742. The cubic root of 10241040 is about 217.1607606264.

Adding to 10241040 its reverse (4014201), we get a palindrome (14255241).

The spelling of 10241040 in words is "ten million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 601 710 852 1065 1136 1202 1420 1704 1803 2130 2404 2840 3005 3408 3606 4260 4808 5680 6010 7212 8520 9015 9616 12020 14424 17040 18030 24040 28848 36060 42671 48080 72120 85342 128013 144240 170684 213355 256026 341368 426710 512052 640065 682736 853420 1024104 1280130 1706840 2048208 2560260 3413680 5120520 10241040