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10712016 = 2432710627
BaseRepresentation
bin101000110111…
…001111010000
3202011020010100
4220313033100
510220241031
61021332400
7160023240
oct50671720
922136110
1010712016
116057107
123707100
1322b0993
1415cbb20
15e18de6
hexa373d0

10712016 has 60 divisors (see below), whose sum is σ = 34264672. Its totient is φ = 3060288.

The previous prime is 10712011. The next prime is 10712021. The reversal of 10712016 is 61021701.

10712016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10712011) and next prime (10712021).

It is a super-2 number, since 2×107120162 = 229494573568512, which contains 22 as substring.

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 10712016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4306 + ... + 6321.

Almost surely, 210712016 is an apocalyptic number.

10712016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10712016 is an abundant number, since it is smaller than the sum of its proper divisors (23552656).

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

10712016 is a wasteful number, since it uses less digits than its factorization.

10712016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10712016 is about 3272.9216305925. The cubic root of 10712016 is about 220.4400009522.

Adding to 10712016 its reverse (61021701), we get a palindrome (71733717).

The spelling of 10712016 in words is "ten million, seven hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10627 21254 31881 42508 63762 74389 85016 95643 127524 148778 170032 191286 223167 255048 297556 382572 446334 510096 595112 669501 765144 892668 1190224 1339002 1530288 1785336 2678004 3570672 5356008 10712016