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10142328 = 233773827
BaseRepresentation
bin100110101100…
…001001111000
3201002021122210
4212230021320
510044023303
61001215120
7152131320
oct46541170
921067583
1010142328
1157a8099
1234914a0
1321415a1
1414c0280
15d55203
hex9ac278

10142328 has 64 divisors (see below), whose sum is σ = 29410560. Its totient is φ = 2854656.

The previous prime is 10142323. The next prime is 10142369. The reversal of 10142328 is 82324101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11851 + ... + 12677.

It is an arithmetic number, because the mean of its divisors is an integer number (459540).

Almost surely, 210142328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705280).

10142328 is an abundant number, since it is smaller than the sum of its proper divisors (19268232).

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

10142328 is a wasteful number, since it uses less digits than its factorization.

10142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10142328 is about 3184.7021838784. The cubic root of 10142328 is about 216.4607790391.

Adding to 10142328 its reverse (82324101), we get a palindrome (92466429).

The spelling of 10142328 in words is "ten million, one hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 827 876 1022 1533 1654 1752 2044 2481 3066 3308 4088 4962 5789 6132 6616 9924 11578 12264 17367 19848 23156 34734 46312 60371 69468 120742 138936 181113 241484 362226 422597 482968 724452 845194 1267791 1448904 1690388 2535582 3380776 5071164 10142328