Search a number
-
+
1085857120 = 25541165527
BaseRepresentation
bin100000010111000…
…1101110101100000
32210200020020221101
41000232031311200
54210434411440
6255425404144
735623430125
oct10056156540
92720206841
101085857120
11507a35587
12263799654
13143c6b50a
14a42da74c
15654e069a
hex40b8dd60

1085857120 has 48 divisors (see below), whose sum is σ = 2627922528. Its totient is φ = 423746560.

The previous prime is 1085857103. The next prime is 1085857127. The reversal of 1085857120 is 217585801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085857120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085857127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76204 + ... + 89323.

It is an arithmetic number, because the mean of its divisors is an integer number (54748386).

Almost surely, 21085857120 is an apocalyptic number.

1085857120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085857120 is an abundant number, since it is smaller than the sum of its proper divisors (1542065408).

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

1085857120 is a wasteful number, since it uses less digits than its factorization.

1085857120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165583 (or 165575 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 1085857120 is about 32952.3461987155. The cubic root of 1085857120 is about 1027.8369537575.

The spelling of 1085857120 in words is "one billion, eighty-five million, eight hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 165527 331054 662108 827635 1324216 1655270 2648432 3310540 5296864 6621080 6786607 13242160 13573214 26484320 27146428 33933035 54292856 67866070 108585712 135732140 217171424 271464280 542928560 1085857120