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1190041664 = 2675035281
BaseRepresentation
bin100011011101110…
…1001100001000000
310001221021101021012
41012323221201000
54414122313124
6314030420052
741330121140
oct10673514100
93057241235
101190041664
11560824a09
12292661628
1315c718886
14b409a920
156e71ee0e
hex46ee9840

1190041664 has 56 divisors (see below), whose sum is σ = 2704722048. Its totient is φ = 508907520.

The previous prime is 1190041663. The next prime is 1190041669. The reversal of 1190041664 is 4661400911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1190041664.

It is not an unprimeable number, because it can be changed into a prime (1190041663) 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 7 ways as a sum of consecutive naturals, for example, 222704 + ... + 227984.

It is an arithmetic number, because the mean of its divisors is an integer number (48298608).

Almost surely, 21190041664 is an apocalyptic number.

1190041664 is a gapful number since it is divisible by the number (14) 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 1190041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352361024).

1190041664 is an abundant number, since it is smaller than the sum of its proper divisors (1514680384).

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

1190041664 is an equidigital number, since it uses as much as digits as its factorization.

1190041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1190041664 is about 34496.9805055457. The cubic root of 1190041664 is about 1059.7108692854.

The spelling of 1190041664 in words is "one billion, one hundred ninety million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 503 1006 2012 3521 4024 5281 7042 8048 10562 14084 16096 21124 28168 32192 36967 42248 56336 73934 84496 112672 147868 168992 225344 295736 337984 591472 1182944 2365888 2656343 5312686 10625372 18594401 21250744 37188802 42501488 74377604 85002976 148755208 170005952 297510416 595020832 1190041664