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1085656 = 231113273
BaseRepresentation
bin100001001000011011000
32001011020111
410021003120
5234220111
635134104
712141115
oct4110330
92034214
101085656
11681740
12444334
132c0200
1420390c
15166a21
hex1090d8

1085656 has 48 divisors (see below), whose sum is σ = 2437560. Its totient is φ = 449280.

The previous prime is 1085633. The next prime is 1085657. The reversal of 1085656 is 6565801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14836 + ... + 14908.

21085656 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 1085656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218780).

1085656 is an abundant number, since it is smaller than the sum of its proper divisors (1351904).

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

1085656 is a wasteful number, since it uses less digits than its factorization.

1085656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1085656 is about 1041.9481752947. The cubic root of 1085656 is about 102.7773491961. Note that the first 3 decimals are identical.

The spelling of 1085656 in words is "one million, eighty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 143 146 169 286 292 338 572 584 676 803 949 1144 1352 1606 1859 1898 3212 3718 3796 6424 7436 7592 10439 12337 14872 20878 24674 41756 49348 83512 98696 135707 271414 542828 1085656