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10287024 = 2431119483
BaseRepresentation
bin100111001111…
…011110110000
3201100122010220
4213033132300
510113141044
61004253040
7153303216
oct47173660
921318126
1010287024
115896880
123541180
1321923c7
14151acb6
15d83019
hex9cf7b0

10287024 has 40 divisors (see below), whose sum is σ = 28992192. Its totient is φ = 3117120.

The previous prime is 10287001. The next prime is 10287029. The reversal of 10287024 is 42078201.

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 = 10286985 and 10287003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9214 + ... + 10269.

Almost surely, 210287024 is an apocalyptic number.

It is an amenable number.

10287024 is an abundant number, since it is smaller than the sum of its proper divisors (18705168).

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

10287024 is a wasteful number, since it uses less digits than its factorization.

10287024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19505 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10287024 is about 3207.3390840384. The cubic root of 10287024 is about 217.4853048600.

The spelling of 10287024 in words is "ten million, two hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19483 38966 58449 77932 116898 155864 214313 233796 311728 428626 467592 642939 857252 935184 1285878 1714504 2571756 3429008 5143512 10287024