Search a number
-
+
1080296712 = 2332112124001
BaseRepresentation
bin100000001100100…
…0000010100001000
32210021202202111100
41000121000110020
54203023443322
6255110301400
735525241045
oct10031002410
92707682440
101080296712
11504887a00
12261957860
13142a72631
14a36901cc
1564c92dac
hex40640508

1080296712 has 72 divisors (see below), whose sum is σ = 3215991870. Its totient is φ = 327360000.

The previous prime is 1080296689. The next prime is 1080296713. The reversal of 1080296712 is 2176920801.

It can be written as a sum of positive squares in only one way, i.e., 1007808516 + 72488196 = 31746^2 + 8514^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1080296713) 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 17 ways as a sum of consecutive naturals, for example, 53289 + ... + 70712.

Almost surely, 21080296712 is an apocalyptic number.

1080296712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1080296712 is an abundant number, since it is smaller than the sum of its proper divisors (2135695158).

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

1080296712 is a wasteful number, since it uses less digits than its factorization.

1080296712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124035 (or 124017 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1080296712 is about 32867.8674696123. The cubic root of 1080296712 is about 1026.0795168813.

It can be divided in two parts, 1080 and 296712, that added together give a palindrome (297792).

The spelling of 1080296712 in words is "one billion, eighty million, two hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 124001 248002 372003 496004 744006 992008 1116009 1364011 1488012 2232018 2728022 2976024 4092033 4464036 5456044 8184066 8928072 10912088 12276099 15004121 16368132 24552198 30008242 32736264 45012363 49104396 60016484 90024726 98208792 120032968 135037089 180049452 270074178 360098904 540148356 1080296712