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10288932 = 223857411
BaseRepresentation
bin100111001111…
…111100100100
3201100201202120
4213033330210
510113221212
61004305540
7153311613
oct47177444
921321676
1010288932
115898255
1235422b0
132193234
14151b87a
15d8388c
hex9cff24

10288932 has 12 divisors (see below), whose sum is σ = 24007536. Its totient is φ = 3429640.

The previous prime is 10288921. The next prime is 10288933. The reversal of 10288932 is 23988201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10288893 and 10288902.

It is not an unprimeable number, because it can be changed into a prime (10288933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428694 + ... + 428717.

It is an arithmetic number, because the mean of its divisors is an integer number (2000628).

Almost surely, 210288932 is an apocalyptic number.

10288932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10288932 is an abundant number, since it is smaller than the sum of its proper divisors (13718604).

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

10288932 is a wasteful number, since it uses less digits than its factorization.

10288932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857418 (or 857416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10288932 is about 3207.6365130731. The cubic root of 10288932 is about 217.4987501580.

It can be divided in two parts, 1028893 and 2, that added together give a triangular number (1028895 = T1434).

The spelling of 10288932 in words is "ten million, two hundred eighty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 857411 1714822 2572233 3429644 5144466 10288932