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675216 = 2434521
BaseRepresentation
bin10100100110110010000
31021022020000
42210312100
5133101331
622250000
75511363
oct2446620
91238200
10675216
11421333
12286900
131a8449
141380da
15d50e6
hexa4d90

675216 has 50 divisors (see below), whose sum is σ = 1958022. Its totient is φ = 224640.

The previous prime is 675197. The next prime is 675221. The reversal of 675216 is 612576.

675216 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 156816 = 720^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 675216.

It is an unprimeable number.

675216 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 9 ways as a sum of consecutive naturals, for example, 1036 + ... + 1556.

2675216 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 675216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979011).

675216 is an abundant number, since it is smaller than the sum of its proper divisors (1282806).

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

675216 is a wasteful number, since it uses less digits than its factorization.

675216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 675216 is about 821.7152791570. The cubic root of 675216 is about 87.7298880053.

The spelling of 675216 in words is "six hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 521 648 1042 1296 1563 2084 3126 4168 4689 6252 8336 9378 12504 14067 18756 25008 28134 37512 42201 56268 75024 84402 112536 168804 225072 337608 675216