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10445016 = 23331101139
BaseRepresentation
bin100111110110…
…000011011000
3201122122212110
4213312003120
510133220031
61011512320
7154531641
oct47660330
921578773
1010445016
11599454a
1235b86a0
1322192aa
14155c6c8
15db4c46
hex9f60d8

10445016 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3312000.

The previous prime is 10445011. The next prime is 10445033. The reversal of 10445016 is 61054401.

10445016 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 junction number, because it is equal to n+sod(n) for n = 10444983 and 10445001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75075 + ... + 75213.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 210445016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10445016 is an abundant number, since it is smaller than the sum of its proper divisors (16972584).

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

10445016 is a wasteful number, since it uses less digits than its factorization.

10445016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10445016 is about 3231.8749975827. The cubic root of 10445016 is about 218.5930601123.

Adding to 10445016 its reverse (61054401), we get a palindrome (71499417).

The spelling of 10445016 in words is "ten million, four hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 139 186 202 248 278 303 372 404 417 556 606 744 808 834 1112 1212 1668 2424 3131 3336 4309 6262 8618 9393 12524 12927 14039 17236 18786 25048 25854 28078 34472 37572 42117 51708 56156 75144 84234 103416 112312 168468 336936 435209 870418 1305627 1740836 2611254 3481672 5222508 10445016