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2689416 = 233312451
BaseRepresentation
bin1010010000100110001000
312001122012000
422100212020
51142030131
6133351000
731600602
oct12204610
95048160
102689416
111577664
12a98460
13732192
14500172
15381ce6
hex290988

2689416 has 32 divisors (see below), whose sum is σ = 7471200. Its totient is φ = 896400.

The previous prime is 2689411. The next prime is 2689439. The reversal of 2689416 is 6149862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2689411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6010 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (233475).

22689416 is an apocalyptic number.

It is an amenable number.

2689416 is an abundant number, since it is smaller than the sum of its proper divisors (4781784).

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

2689416 is a wasteful number, since it uses less digits than its factorization.

2689416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12456 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2689416 is about 1639.9439014796. The cubic root of 2689416 is about 139.0654764586.

The spelling of 2689416 in words is "two million, six hundred eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 12451 24902 37353 49804 74706 99608 112059 149412 224118 298824 336177 448236 672354 896472 1344708 2689416