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10240016 = 24292761
BaseRepresentation
bin100111000100…
…000000010000
3201021020122212
4213010000100
510110140031
61003251252
7153016163
oct47040020
921236585
1010240016
115864526
123519b28
132176ba7
141507ada
15d7412b
hex9c4010

10240016 has 30 divisors (see below), whose sum is σ = 20574762. Its totient is φ = 4936960.

The previous prime is 10239989. The next prime is 10240033. The reversal of 10240016 is 61004201.

It can be written as a sum of positive squares in 3 ways, for example, as 25600 + 10214416 = 160^2 + 3196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13076 + ... + 13836.

Almost surely, 210240016 is an apocalyptic number.

10240016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287381).

10240016 is an abundant number, since it is smaller than the sum of its proper divisors (10334746).

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

10240016 is an equidigital number, since it uses as much as digits as its factorization.

10240016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10240016 is about 3200.0024999990. The cubic root of 10240016 is about 217.1535224283.

Adding to 10240016 its reverse (61004201), we get a palindrome (71244217).

It can be divided in two parts, 102400 and 16, that multiplied together give a square (1638400 = 12802).

The spelling of 10240016 in words is "ten million, two hundred forty thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 761 841 1522 1682 3044 3364 6088 6728 12176 13456 22069 44138 88276 176552 353104 640001 1280002 2560004 5120008 10240016