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1663260160 = 2956110651
BaseRepresentation
bin110001100100011…
…0101011000000000
311021220201101000011
41203020311120000
511401243311120
6433013234304
756134322662
oct14310653000
94256641004
101663260160
11783959a81
123a5032994
13206784913
1411ac80532
159b047c5a
hex63235600

1663260160 has 80 divisors (see below), whose sum is σ = 4053682512. Its totient is φ = 654336000.

The previous prime is 1663260121. The next prime is 1663260173. The reversal of 1663260160 is 610623661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 150835 + ... + 161485.

Almost surely, 21663260160 is an apocalyptic number.

1663260160 is a gapful number since it is divisible by the number (10) 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 1663260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026841256).

1663260160 is an abundant number, since it is smaller than the sum of its proper divisors (2390422352).

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

1663260160 is an equidigital number, since it uses as much as digits as its factorization.

1663260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 1663260160 is about 40783.0866904407. The cubic root of 1663260160 is about 1184.8227784845.

The spelling of 1663260160 in words is "one billion, six hundred sixty-three million, two hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1220 1280 1952 2440 2560 3904 4880 7808 9760 10651 15616 19520 21302 31232 39040 42604 53255 78080 85208 106510 156160 170416 213020 340832 426040 649711 681664 852080 1299422 1363328 1704160 2598844 2726656 3248555 3408320 5197688 5453312 6497110 6816640 10395376 12994220 13633280 20790752 25988440 27266560 41581504 51976880 83163008 103953760 166326016 207907520 332652032 415815040 831630080 1663260160