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6890416 = 2413157211
BaseRepresentation
bin11010010010001110110000
3110222001212121
4122102032300
53230443131
6403404024
7112365451
oct32221660
913861777
106890416
113986965
122383614
131573390
14cb5128
15911911
hex6923b0

6890416 has 40 divisors (see below), whose sum is σ = 14537264. Its totient is φ = 3144960.

The previous prime is 6890413. The next prime is 6890437. The reversal of 6890416 is 6140986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32551 + ... + 32761.

Almost surely, 26890416 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 6890416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268632).

6890416 is an abundant number, since it is smaller than the sum of its proper divisors (7646848).

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

6890416 is a wasteful number, since it uses less digits than its factorization.

6890416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6890416 is about 2624.9601901743. The cubic root of 6890416 is about 190.2896413407.

The spelling of 6890416 in words is "six million, eight hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 211 314 422 628 844 1256 1688 2041 2512 2743 3376 4082 5486 8164 10972 16328 21944 32656 33127 43888 66254 132508 265016 430651 530032 861302 1722604 3445208 6890416