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687140 = 225174347
BaseRepresentation
bin10100111110000100100
31021220120122
42213300210
5133442030
622421112
75561216
oct2476044
91256518
10687140
1142a293
12291798
131b09bc
1413c5b6
15d88e5
hexa7c24

687140 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 247296.

The previous prime is 687139. The next prime is 687151. The reversal of 687140 is 41786.

It is a super-2 number, since 2×6871402 = 944322759200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14597 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2687140 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 687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

687140 is an abundant number, since it is smaller than the sum of its proper divisors (909532).

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

687140 is a wasteful number, since it uses less digits than its factorization.

687140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 687140 is about 828.9390809945. The cubic root of 687140 is about 88.2433005371.

The spelling of 687140 in words is "six hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 47 68 85 86 94 170 172 188 215 235 340 430 470 731 799 860 940 1462 1598 2021 2924 3196 3655 3995 4042 7310 7990 8084 10105 14620 15980 20210 34357 40420 68714 137428 171785 343570 687140