Search a number
1880116812 = 223378927943
BaseRepresentation
bin111000000010000…
…0100111001001100
311212000202211102000
41300010010321030
512322302214222
6510321232300
764406505060
oct16004047114
94760684360
101880116812
11885305652
12445792690
1323c691672
15b00d19ac
hex70104e4c

1880116812 has 96 divisors (see below), whose sum is σ = 5633510400. Its totient is φ = 531121536.

The previous prime is 1880116811. The next prime is 1880116829. The reversal of 1880116812 is 2186110881.

It is a happy number.

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 (1880116811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53313 + ... + 81255.

It is an arithmetic number, because the mean of its divisors is an integer number (58682400).

Almost surely, 21880116812 is an apocalyptic number.

1880116812 is a gapful number since it is divisible by the number (12) 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 1880116812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816755200).

1880116812 is an abundant number, since it is smaller than the sum of its proper divisors (3753393588).

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

1880116812 is a wasteful number, since it uses less digits than its factorization.

1880116812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28052 (or 28044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The square root of 1880116812 is about 43360.3137903775. The cubic root of 1880116812 is about 1234.2267199950.

The spelling of 1880116812 in words is "one billion, eight hundred eighty million, one hundred sixteen thousand, eight hundred twelve".