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10287864 = 233347629
BaseRepresentation
bin100111001111…
…101011111000
3201100200022000
4213033223320
510113202424
61004301000
7153305526
oct47175370
921320260
1010287864
115897474
123541760
1321928c2
14151b316
15d833c9
hex9cfaf8

10287864 has 32 divisors (see below), whose sum is σ = 28578000. Its totient is φ = 3429216.

The previous prime is 10287853. The next prime is 10287869. The reversal of 10287864 is 46878201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287869) 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, 23599 + ... + 24030.

Almost surely, 210287864 is an apocalyptic number.

It is an amenable number.

10287864 is an abundant number, since it is smaller than the sum of its proper divisors (18290136).

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

10287864 is a wasteful number, since it uses less digits than its factorization.

10287864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47644 (or 47634 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10287864 is about 3207.4700310369. The cubic root of 10287864 is about 217.4912243784.

The spelling of 10287864 in words is "ten million, two hundred eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 47629 95258 142887 190516 285774 381032 428661 571548 857322 1143096 1285983 1714644 2571966 3429288 5143932 10287864