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1190141316 = 2233713831459
BaseRepresentation
bin100011011110000…
…0001110110000100
310001221110102222000
41012330001312010
54414134010231
6314032505300
741331014520
oct10674016604
93057412860
101190141316
11560892871
122926ab230
1315c752040
14b40c4d80
156e73e6e6
hex46f01d84

1190141316 has 192 divisors, whose sum is σ = 3845990400. Its totient is φ = 309889152.

The previous prime is 1190141311. The next prime is 1190141327. The reversal of 1190141316 is 6131410911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1190141316.

It is not an unprimeable number, because it can be changed into a prime (1190141311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814995 + ... + 816453.

It is an arithmetic number, because the mean of its divisors is an integer number (20031200).

Almost surely, 21190141316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1190141316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922995200).

1190141316 is an abundant number, since it is smaller than the sum of its proper divisors (2655849084).

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

1190141316 is a wasteful number, since it uses less digits than its factorization.

1190141316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1190141316 is about 34498.4248336065. The cubic root of 1190141316 is about 1059.7404479024.

The spelling of 1190141316 in words is "one billion, one hundred ninety million, one hundred forty-one thousand, three hundred sixteen".