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1000680 = 233531269
BaseRepresentation
bin11110100010011101000
31212211200020
43310103220
5224010210
633240440
711335302
oct3642350
91784606
101000680
1162390a
12403120
13290625
141c0972
1514b770
hexf44e8

1000680 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 257280.

The previous prime is 1000679. The next prime is 1000691. The reversal of 1000680 is 860001.

1000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 3586 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

21000680 is an apocalyptic number.

1000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

1000680 is an abundant number, since it is smaller than the sum of its proper divisors (2109720).

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

1000680 is a wasteful number, since it uses less digits than its factorization.

1000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1000680 is about 1000.3399422196. The cubic root of 1000680 is about 100.0226615308.

Adding to 1000680 its reverse (860001), we get a palindrome (1860681).

The spelling of 1000680 in words is "one million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 269 310 372 465 538 620 744 807 930 1076 1240 1345 1614 1860 2152 2690 3228 3720 4035 5380 6456 8070 8339 10760 16140 16678 25017 32280 33356 41695 50034 66712 83390 100068 125085 166780 200136 250170 333560 500340 1000680