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10428936 = 2337232699
BaseRepresentation
bin100111110010…
…001000001000
3201121211210220
4213302020020
510132211221
61011310040
7154434030
oct47621010
921554726
1010428936
115983461
1235ab320
132211b8b
1415568c0
15db00c6
hex9f2208

10428936 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2849088.

The previous prime is 10428917. The next prime is 10428937. The reversal of 10428936 is 63982401.

It is a junction number, because it is equal to n+sod(n) for n = 10428897 and 10428906.

It is not an unprimeable number, because it can be changed into a prime (10428937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2515 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 210428936 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 10428936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10428936 is an abundant number, since it is smaller than the sum of its proper divisors (20675064).

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

10428936 is a wasteful number, since it uses less digits than its factorization.

10428936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10428936 is about 3229.3863194112. The cubic root of 10428936 is about 218.4808285399.

The spelling of 10428936 in words is "ten million, four hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 2699 3864 5398 8097 10796 16194 18893 21592 32388 37786 56679 62077 64776 75572 113358 124154 151144 186231 226716 248308 372462 434539 453432 496616 744924 869078 1303617 1489848 1738156 2607234 3476312 5214468 10428936