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2072016 = 243214389
BaseRepresentation
bin111111001110111010000
310220021021100
413321313100
51012301031
6112224400
723416602
oct7716720
93807240
102072016
111195811
1283b100
1357715b
143bd172
152adde6
hex1f9dd0

2072016 has 30 divisors (see below), whose sum is σ = 5799170. Its totient is φ = 690624.

The previous prime is 2072003. The next prime is 2072023. The reversal of 2072016 is 6102702.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 484416 = 1260^2 + 696^2 .

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2072016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7051 + ... + 7338.

22072016 is an apocalyptic number.

It is an amenable number.

2072016 is an abundant number, since it is smaller than the sum of its proper divisors (3727154).

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

2072016 is a wasteful number, since it uses less digits than its factorization.

2072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2072016 is about 1439.4498949251. The cubic root of 2072016 is about 127.4865499076.

Adding to 2072016 its reverse (6102702), we get a palindrome (8174718).

It can be divided in two parts, 20720 and 16, that added together give a 4-th power (20736 = 124).

The spelling of 2072016 in words is "two million, seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14389 28778 43167 57556 86334 115112 129501 172668 230224 259002 345336 518004 690672 1036008 2072016