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1020680 = 235171979
BaseRepresentation
bin11111001001100001000
31220212002222
43321030020
5230130210
633513212
711450513
oct3711410
91825088
101020680
11637941
12412808
1329976b
141c7d7a
15152655
hexf9308

1020680 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 359424.

The previous prime is 1020667. The next prime is 1020683. The reversal of 1020680 is 860201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1020683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12881 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

21020680 is an apocalyptic number.

1020680 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 1020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

1020680 is an abundant number, since it is smaller than the sum of its proper divisors (1571320).

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

1020680 is a wasteful number, since it uses less digits than its factorization.

1020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1020680 is about 1010.2870879112. The cubic root of 1020680 is about 100.6846353804.

Adding to 1020680 its reverse (860201), we get a palindrome (1880881).

The spelling of 1020680 in words is "one million, twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 79 85 95 136 152 158 170 190 316 323 340 380 395 632 646 680 760 790 1292 1343 1501 1580 1615 2584 2686 3002 3160 3230 5372 6004 6460 6715 7505 10744 12008 12920 13430 15010 25517 26860 30020 51034 53720 60040 102068 127585 204136 255170 510340 1020680