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677740 = 225747103
BaseRepresentation
bin10100101011101101100
31021102200111
42211131230
5133141430
622305404
75521630
oct2453554
91242614
10677740
11423218
12288264
131a963b
14138dc0
15d5c2a
hexa576c

677740 has 48 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 225216.

The previous prime is 677737. The next prime is 677767. The reversal of 677740 is 47776.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6529 + ... + 6631.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2677740 is an apocalyptic number.

677740 is the 412-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656).

677740 is an abundant number, since it is smaller than the sum of its proper divisors (999572).

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

677740 is a wasteful number, since it uses less digits than its factorization.

677740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 677740 is about 823.2496583662. The cubic root of 677740 is about 87.8390653659.

The spelling of 677740 in words is "six hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 103 140 188 206 235 329 412 470 515 658 721 940 1030 1316 1442 1645 2060 2884 3290 3605 4841 6580 7210 9682 14420 19364 24205 33887 48410 67774 96820 135548 169435 338870 677740