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545680 = 24519359
BaseRepresentation
bin10000101001110010000
31000201112101
42011032100
5114430210
615410144
74431622
oct2051620
91021471
10545680
11342a83
12223954
131614b5
14102c12
15aba3a
hex85390

545680 has 40 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 206208.

The previous prime is 545663. The next prime is 545711. The reversal of 545680 is 86545.

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

It is an unprimeable number.

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, 1341 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2545680 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 545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

545680 is an abundant number, since it is smaller than the sum of its proper divisors (793520).

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

545680 is a wasteful number, since it uses less digits than its factorization.

545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 545680 is about 738.7015635559. The cubic root of 545680 is about 81.7170497564.

It can be divided in two parts, 545 and 680, that added together give a triangular number (1225 = T49).

The spelling of 545680 in words is "five hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 359 380 718 760 1436 1520 1795 2872 3590 5744 6821 7180 13642 14360 27284 28720 34105 54568 68210 109136 136420 272840 545680