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10282416 = 2431712601
BaseRepresentation
bin100111001110…
…010110110000
3201100101211020
4213032112300
510113014131
61004215440
7153253614
oct47162660
921311736
1010282416
115893371
12353a580
132190291
141519344
15d81996
hex9ce5b0

10282416 has 40 divisors (see below), whose sum is σ = 28127664. Its totient is φ = 3225600.

The previous prime is 10282409. The next prime is 10282417. The reversal of 10282416 is 61428201.

10282416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10282417) 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, 5485 + ... + 7116.

Almost surely, 210282416 is an apocalyptic number.

10282416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10282416 is an abundant number, since it is smaller than the sum of its proper divisors (17845248).

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

10282416 is a wasteful number, since it uses less digits than its factorization.

10282416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10282416 is about 3206.6206510905. The cubic root of 10282416 is about 217.4528263394.

The spelling of 10282416 in words is "ten million, two hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 12601 25202 37803 50404 75606 100808 151212 201616 214217 302424 428434 604848 642651 856868 1285302 1713736 2570604 3427472 5141208 10282416