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10304240 = 245151853
BaseRepresentation
bin100111010011…
…101011110000
3201101111202112
4213103223300
510114213430
61004504452
7153404342
oct47235360
921344675
1010304240
1158a8801
12354b128
13219a1ab
141523292
15d88195
hex9d3af0

10304240 has 40 divisors (see below), whose sum is σ = 24144288. Its totient is φ = 4089600.

The previous prime is 10304237. The next prime is 10304249. The reversal of 10304240 is 4240301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11654 + ... + 12506.

Almost surely, 210304240 is an apocalyptic number.

10304240 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 10304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072144).

10304240 is an abundant number, since it is smaller than the sum of its proper divisors (13840048).

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

10304240 is a wasteful number, since it uses less digits than its factorization.

10304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10304240 is about 3210.0218067795. The cubic root of 10304240 is about 217.6065624823.

Adding to 10304240 its reverse (4240301), we get a palindrome (14544541).

The spelling of 10304240 in words is "ten million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 853 1208 1510 1706 2416 3020 3412 4265 6040 6824 8530 12080 13648 17060 34120 68240 128803 257606 515212 644015 1030424 1288030 2060848 2576060 5152120 10304240