Search a number
-
+
1120930387600 = 2452529372
BaseRepresentation
bin10000010011111100101…
…010000101011010010000
310222011022120021121211111
4100103330222011122100
5121331131134400400
62214540500223104
7143661462041512
oct20237452053220
93864276247744
101120930387600
113a2424a87a91
121612b139aa94
138191b158aca
143c379179bb2
151e25824c3ba
hex104fca85690

1120930387600 has 45 divisors (see below), whose sum is σ = 2693086129627. Its totient is φ = 448363685120.

The previous prime is 1120930387589. The next prime is 1120930387691. The reversal of 1120930387600 is 67830390211.

The square root of 1120930387600 is 1058740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7111886224 + 1113818501376 = 84332^2 + 1055376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21148332 + ... + 21201268.

Almost surely, 21120930387600 is an apocalyptic number.

1120930387600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120930387600 is the 1058740-th square number.

It is an amenable number.

1120930387600 is an abundant number, since it is smaller than the sum of its proper divisors (1572155742027).

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

1120930387600 is an frugal number, since it uses more digits than its factorization.

1120930387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105892 (or 52944 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 1120930387600 in words is "one trillion, one hundred twenty billion, nine hundred thirty million, three hundred eighty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 52937 105874 211748 264685 423496 529370 846992 1058740 1323425 2117480 2646850 4234960 5293700 10587400 21174800 2802325969 5604651938 11209303876 14011629845 22418607752 28023259690 44837215504 56046519380 70058149225 112093038760 140116298450 224186077520 280232596900 560465193800 1120930387600