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10390128 = 2437172107
BaseRepresentation
bin100111101000…
…101001110000
3201112212120120
4213220221300
510124441003
61010410240
7154212630
oct47505160
921485516
1010390128
115957291
123590980
1321ca308
1415466c0
15da3853
hex9e8a70

10390128 has 120 divisors (see below), whose sum is σ = 32890752. Its totient is φ = 2767872.

The previous prime is 10390123. The next prime is 10390129. The reversal of 10390128 is 82109301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10390098 and 10390107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10390123) 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 23 ways as a sum of consecutive naturals, for example, 97051 + ... + 97157.

Almost surely, 210390128 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 10390128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376).

10390128 is an abundant number, since it is smaller than the sum of its proper divisors (22500624).

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

10390128 is a wasteful number, since it uses less digits than its factorization.

10390128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10390128 is about 3223.3721473016. The cubic root of 10390128 is about 218.2094891672.

Adding to 10390128 its reverse (82109301), we get a palindrome (92499429).

The spelling of 10390128 in words is "ten million, three hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 107 112 119 136 168 204 214 238 272 289 321 336 357 408 428 476 578 642 714 749 816 856 867 952 1156 1284 1428 1498 1712 1734 1819 1904 2023 2247 2312 2568 2856 2996 3468 3638 4046 4494 4624 5136 5457 5712 5992 6069 6936 7276 8092 8988 10914 11984 12138 12733 13872 14552 16184 17976 21828 24276 25466 29104 30923 32368 35952 38199 43656 48552 50932 61846 76398 87312 92769 97104 101864 123692 152796 185538 203728 216461 247384 305592 371076 432922 494768 611184 649383 742152 865844 1298766 1484304 1731688 2597532 3463376 5195064 10390128