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676416 = 26313271
BaseRepresentation
bin10100101001001000000
31021100212110
42211021000
5133121131
622255320
75515026
oct2451100
91240773
10676416
11422224
12287540
131a8b60
14138716
15d5646
hexa5240

676416 has 56 divisors (see below), whose sum is σ = 1934464. Its totient is φ = 207360.

The previous prime is 676411. The next prime is 676421. The reversal of 676416 is 614676.

676416 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (676411) and next prime (676421).

It is not an unprimeable number, because it can be changed into a prime (676411) by changing a digit.

676416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2361 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (34544).

2676416 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 676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967232).

676416 is an abundant number, since it is smaller than the sum of its proper divisors (1258048).

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

676416 is a wasteful number, since it uses less digits than its factorization.

676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 676416 is about 822.4451349482. The cubic root of 676416 is about 87.7818286985.

The spelling of 676416 in words is "six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 271 312 416 542 624 813 832 1084 1248 1626 2168 2496 3252 3523 4336 6504 7046 8672 10569 13008 14092 17344 21138 26016 28184 42276 52032 56368 84552 112736 169104 225472 338208 676416