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2018241840 = 243515155691
BaseRepresentation
bin111100001001011…
…1110110100110000
312012122200022022210
41320102332310300
513113132214330
6532133532120
7101004525666
oct17022766460
95178608283
102018241840
11946276a6a
12483aa4040
13262193454
14152086c36
15bc2b78b0
hex784bed30

2018241840 has 80 divisors (see below), whose sum is σ = 6298096896. Its totient is φ = 534624000.

The previous prime is 2018241829. The next prime is 2018241857. The reversal of 2018241840 is 481428102.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2018241798 and 2018241807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8395 + ... + 64085.

Almost surely, 22018241840 is an apocalyptic number.

2018241840 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 2018241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149048448).

2018241840 is an abundant number, since it is smaller than the sum of its proper divisors (4279855056).

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

2018241840 is a wasteful number, since it uses less digits than its factorization.

2018241840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55858 (or 55852 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2018241840 is about 44924.8465773674. The cubic root of 2018241840 is about 1263.7400088828.

Adding to 2018241840 its reverse (481428102), we get a palindrome (2499669942).

The spelling of 2018241840 in words is "two billion, eighteen million, two hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 18120 36240 55691 111382 167073 222764 278455 334146 445528 556910 668292 835365 891056 1113820 1336584 1670730 2227640 2673168 3341460 4455280 6682920 8409341 13365840 16818682 25228023 33637364 42046705 50456046 67274728 84093410 100912092 126140115 134549456 168186820 201824184 252280230 336373640 403648368 504560460 672747280 1009120920 2018241840