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1800019144 = 2371119115299
BaseRepresentation
bin110101101001010…
…0001110011001000
311122110001110001201
41223102201303020
512141301103034
6454340353544
762414624140
oct15322416310
94573043051
101800019144
11844078030
124229a58b4
13228bc89b1
141310bd920
15a805e014
hex6b4a1cc8

1800019144 has 64 divisors (see below), whose sum is σ = 4230144000. Its totient is φ = 697588800.

The previous prime is 1800019129. The next prime is 1800019157. The reversal of 1800019144 is 4419100081.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 110007 + ... + 125305.

It is an arithmetic number, because the mean of its divisors is an integer number (66096000).

Almost surely, 21800019144 is an apocalyptic number.

1800019144 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 1800019144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1800019144 is an abundant number, since it is smaller than the sum of its proper divisors (2430124856).

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

1800019144 is a wasteful number, since it uses less digits than its factorization.

1800019144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1800019144 is about 42426.6324847966. The cubic root of 1800019144 is about 1216.4447116059. Note that the first 3 decimals are identical.

The spelling of 1800019144 in words is "one billion, eight hundred million, nineteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 191 308 382 616 764 1337 1528 2101 2674 4202 5348 8404 10696 14707 15299 16808 29414 30598 58828 61196 107093 117656 122392 168289 214186 336578 428372 673156 856744 1178023 1346312 2356046 2922109 4712092 5844218 9424184 11688436 20454763 23376872 32143199 40909526 64286398 81819052 128572796 163638104 225002393 257145592 450004786 900009572 1800019144