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675280 = 24523367
BaseRepresentation
bin10100100110111010000
31021022022101
42210313100
5133102110
622250144
75511514
oct2446720
91238271
10675280
11421391
12286954
131a8498
14138144
15d513a
hexa4dd0

675280 has 40 divisors (see below), whose sum is σ = 1642752. Its totient is φ = 257664.

The previous prime is 675271. The next prime is 675299. The reversal of 675280 is 82576.

675280 = T197 + T198 + ... + T226.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

675280 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, 1657 + ... + 2023.

2675280 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 675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821376).

675280 is an abundant number, since it is smaller than the sum of its proper divisors (967472).

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

675280 is a wasteful number, since it uses less digits than its factorization.

675280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 675280 is about 821.7542211635. The cubic root of 675280 is about 87.7326597284.

Subtracting from 675280 its reverse (82576), we obtain a cube (592704 = 843).

The spelling of 675280 in words is "six hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 367 368 460 734 920 1468 1835 1840 2936 3670 5872 7340 8441 14680 16882 29360 33764 42205 67528 84410 135056 168820 337640 675280