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10230736 = 2417291297
BaseRepresentation
bin100111000001…
…101111010000
3201020202221011
4213001233100
510104340421
61003140304
7152650135
oct47015720
921222834
1010230736
11585855a
123514694
1321728b9
14150458c
15d714e1
hex9c1bd0

10230736 has 40 divisors (see below), whose sum is σ = 21728520. Its totient is φ = 4644864.

The previous prime is 10230709. The next prime is 10230743. The reversal of 10230736 is 63703201.

10230736 = 2992 + 3002 + ... + 3852.

It can be written as a sum of positive squares in 4 ways, for example, as 6451600 + 3779136 = 2540^2 + 1944^2 .

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, 7240 + ... + 8536.

It is an arithmetic number, because the mean of its divisors is an integer number (543213).

Almost surely, 210230736 is an apocalyptic number.

10230736 is a gapful number since it is divisible by the number (16) 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 10230736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864260).

10230736 is an abundant number, since it is smaller than the sum of its proper divisors (11497784).

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

10230736 is a wasteful number, since it uses less digits than its factorization.

10230736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 10230736 is about 3198.5521724680. The cubic root of 10230736 is about 217.0879042447.

Adding to 10230736 its reverse (63703201), we get a palindrome (73933937).

The spelling of 10230736 in words is "ten million, two hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1297 1972 2594 3944 5188 7888 10376 20752 22049 37613 44098 75226 88196 150452 176392 300904 352784 601808 639421 1278842 2557684 5115368 10230736