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1820230080 = 263510118773
BaseRepresentation
bin110110001111110…
…1000000111000000
311200212002021020220
41230133220013000
512211434330310
6500341503040
763051462144
oct15437500700
94625067226
101820230080
11854521889
12429711a80
13230154126
14133a61224
15a9c02670
hex6c7e81c0

1820230080 has 112 divisors (see below), whose sum is σ = 5836761504. Its totient is φ = 480563200.

The previous prime is 1820230079. The next prime is 1820230081. The reversal of 1820230080 is 800320281.

It is an interprime number because it is at equal distance from previous prime (1820230079) and next prime (1820230081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1820230080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820230081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87574 + ... + 106346.

It is an arithmetic number, because the mean of its divisors is an integer number (52113942).

Almost surely, 21820230080 is an apocalyptic number.

1820230080 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 1820230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918380752).

1820230080 is an abundant number, since it is smaller than the sum of its proper divisors (4016531424).

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

1820230080 is a wasteful number, since it uses less digits than its factorization.

1820230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18894 (or 18884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1820230080 is about 42664.1545093771. The cubic root of 1820230080 is about 1220.9805965494.

The spelling of 1820230080 in words is "one billion, eight hundred twenty million, two hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 16160 18773 19392 24240 32320 37546 48480 56319 75092 93865 96960 112638 150184 187730 225276 281595 300368 375460 450552 563190 600736 750920 901104 1126380 1201472 1501840 1802208 1896073 2252760 3003680 3604416 3792146 4505520 5688219 6007360 7584292 9011040 9480365 11376438 15168584 18022080 18960730 22752876 28441095 30337168 37921460 45505752 56882190 60674336 75842920 91011504 113764380 121348672 151685840 182023008 227528760 303371680 364046016 455057520 606743360 910115040 1820230080