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1085148 = 223243701
BaseRepresentation
bin100001000111011011100
32001010112200
410020323130
5234211043
635131500
712136461
oct4107334
92033480
101085148
11681319
12443b90
132bcbcc
14203668
151667d3
hex108edc

1085148 has 36 divisors (see below), whose sum is σ = 2810808. Its totient is φ = 352800.

The previous prime is 1085143. The next prime is 1085153. The reversal of 1085148 is 8415801.

It is an interprime number because it is at equal distance from previous prime (1085143) and next prime (1085153).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (78078).

21085148 is an apocalyptic number.

1085148 is a gapful number since it is divisible by the number (18) 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 1085148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405404).

1085148 is an abundant number, since it is smaller than the sum of its proper divisors (1725660).

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

1085148 is a wasteful number, since it uses less digits than its factorization.

1085148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1085148 is about 1041.7043726509. The cubic root of 1085148 is about 102.7613161742.

It can be divided in two parts, 10 and 85148, that added together give a palindrome (85158).

The spelling of 1085148 in words is "one million, eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 701 774 1402 1548 2103 2804 4206 6309 8412 12618 25236 30143 60286 90429 120572 180858 271287 361716 542574 1085148