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10802016 = 253237507
BaseRepresentation
bin101001001101…
…001101100000
3202022210120200
4221031031200
510231131031
61023305200
7160546521
oct51151540
922283520
1010802016
116108795
12374b200
132312934
141612848
15e358e6
hexa4d360

10802016 has 36 divisors (see below), whose sum is σ = 30719052. Its totient is φ = 3600576.

The previous prime is 10802003. The next prime is 10802023. The reversal of 10802016 is 61020801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10802016.

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, 18466 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (853307).

Almost surely, 210802016 is an apocalyptic number.

10802016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10802016 is an abundant number, since it is smaller than the sum of its proper divisors (19917036).

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

10802016 is a wasteful number, since it uses less digits than its factorization.

10802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37523 (or 37512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10802016 is about 3286.6420553507. The cubic root of 10802016 is about 221.0556427803.

Adding to 10802016 its reverse (61020801), we get a palindrome (71822817).

The spelling of 10802016 in words is "ten million, eight hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37507 75014 112521 150028 225042 300056 337563 450084 600112 675126 900168 1200224 1350252 1800336 2700504 3600672 5401008 10802016