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1081085688 = 233215015079
BaseRepresentation
bin100000001110000…
…0000111011111000
32210100020211202200
41000130000323320
54203224220223
6255135230200
735535035214
oct10034007370
92710224680
101081085688
11505276751
12262078360
13142c8a797
14a3817944
1564d9ba43
hex40700ef8

1081085688 has 24 divisors (see below), whose sum is σ = 2927940600. Its totient is φ = 360361872.

The previous prime is 1081085683. The next prime is 1081085699. The reversal of 1081085688 is 8865801801.

It is a happy number.

1081085688 is a `hidden beast` number, since 1 + 0 + 81 + 0 + 8 + 568 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081085683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7507468 + ... + 7507611.

It is an arithmetic number, because the mean of its divisors is an integer number (121997525).

Almost surely, 21081085688 is an apocalyptic number.

1081085688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1081085688 is an abundant number, since it is smaller than the sum of its proper divisors (1846854912).

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

1081085688 is a wasteful number, since it uses less digits than its factorization.

1081085688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15015091 (or 15015084 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 1081085688 is about 32879.8675179813. The cubic root of 1081085688 is about 1026.3292492320.

It can be divided in two parts, 10810856 and 88, that added together give a square (10810944 = 32882).

The spelling of 1081085688 in words is "one billion, eighty-one million, eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15015079 30030158 45045237 60060316 90090474 120120632 135135711 180180948 270271422 360361896 540542844 1081085688