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2824240080 = 243511767667
BaseRepresentation
bin1010100001010110…
…0111101111010000
321021211022021001110
42220111213233100
521241001140310
61144125133320
7126662434044
oct25025475720
97254267043
102824240080
11121a234412
126699ba240
1336016659c
141cb134024
15117e26d20
hexa8567bd0

2824240080 has 40 divisors (see below), whose sum is σ = 8755144992. Its totient is φ = 753130624.

The previous prime is 2824240057. The next prime is 2824240091. The reversal of 2824240080 is 800424282.

2824240080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5883594 + ... + 5884073.

Almost surely, 22824240080 is an apocalyptic number.

2824240080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824240080 is an abundant number, since it is smaller than the sum of its proper divisors (5930904912).

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

2824240080 is a wasteful number, since it uses less digits than its factorization.

2824240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767683 (or 11767677 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2824240080 is about 53143.5798568369. The cubic root of 2824240080 is about 1413.5153769505.

The spelling of 2824240080 in words is "two billion, eight hundred twenty-four million, two hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11767667 23535334 35303001 47070668 58838335 70606002 94141336 117676670 141212004 176515005 188282672 235353340 282424008 353030010 470706680 564848016 706060020 941413360 1412120040 2824240080