[go: up one dir, main page]

Search a number
-
+
1020840 = 233547181
BaseRepresentation
bin11111001001110101000
31220212022220
43321032220
5230131330
633514040
711451132
oct3711650
91825286
101020840
11637a77
12412920
13299862
141c8052
15152710
hexf93a8

1020840 has 64 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 264960.

The previous prime is 1020839. The next prime is 1020841. The reversal of 1020840 is 480201.

It is an interprime number because it is at equal distance from previous prime (1020839) and next prime (1020841).

It is a super-2 number, since 2×10208402 = 2084228611200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020841) by changing a digit.

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, 5550 + ... + 5730.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

21020840 is an apocalyptic number.

1020840 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 1020840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1020840 is an abundant number, since it is smaller than the sum of its proper divisors (2124120).

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

1020840 is a wasteful number, since it uses less digits than its factorization.

1020840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020840 is about 1010.3662702209. The cubic root of 1020840 is about 100.6898961543.

The spelling of 1020840 in words is "one million, twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 181 188 235 282 362 376 470 543 564 705 724 905 940 1086 1128 1410 1448 1810 1880 2172 2715 2820 3620 4344 5430 5640 7240 8507 10860 17014 21720 25521 34028 42535 51042 68056 85070 102084 127605 170140 204168 255210 340280 510420 1020840