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2064645760 = 2753838423
BaseRepresentation
bin111101100001111…
…1111111010000000
312022212222212112111
41323003333322000
513212022131020
6540512305104
7102110125252
oct17303777200
95285885474
102064645760
1196a490a11
12497542194
1326b98caa8
141582c5cd2
15c13d1d5a
hex7b0ffe80

2064645760 has 64 divisors (see below), whose sum is σ = 4949268480. Its totient is φ = 823604224.

The previous prime is 2064645757. The next prime is 2064645797. The reversal of 2064645760 is 675464602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20646457602 = 8525524228571955200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240909 + ... + 249331.

It is an arithmetic number, because the mean of its divisors is an integer number (77332320).

Almost surely, 22064645760 is an apocalyptic number.

2064645760 is a gapful number since it is divisible by the number (20) 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 2064645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474634240).

2064645760 is an abundant number, since it is smaller than the sum of its proper divisors (2884622720).

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

2064645760 is an equidigital number, since it uses as much as digits as its factorization.

2064645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2064645760 is about 45438.3732103164. The cubic root of 2064645760 is about 1273.3521215274.

The spelling of 2064645760 in words is "two billion, sixty-four million, six hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 383 640 766 1532 1915 3064 3830 6128 7660 8423 12256 15320 16846 24512 30640 33692 42115 49024 61280 67384 84230 122560 134768 168460 245120 269536 336920 539072 673840 1078144 1347680 2695360 3226009 5390720 6452018 12904036 16130045 25808072 32260090 51616144 64520180 103232288 129040360 206464576 258080720 412929152 516161440 1032322880 2064645760