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682088 = 231123337
BaseRepresentation
bin10100110100001101000
31021122122112
42212201220
5133311323
622341452
75540411
oct2464150
91248575
10682088
11426510
1228a888
131ab604
1413a808
15d7178
hexa6868

682088 has 32 divisors (see below), whose sum is σ = 1460160. Its totient is φ = 295680.

The previous prime is 682079. The next prime is 682141. The reversal of 682088 is 880286.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1856 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (45630).

2682088 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 682088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730080).

682088 is an abundant number, since it is smaller than the sum of its proper divisors (778072).

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

682088 is a wasteful number, since it uses less digits than its factorization.

682088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 682088 is about 825.8861907067. The cubic root of 682088 is about 88.0265071663.

It can be divided in two parts, 6 and 82088, that multiplied together give a triangular number (492528 = T992).

The spelling of 682088 in words is "six hundred eighty-two thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 337 506 674 1012 1348 2024 2696 3707 7414 7751 14828 15502 29656 31004 62008 85261 170522 341044 682088