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1844730420 = 22351314591621
BaseRepresentation
bin110110111110100…
…0101101000110100
311202120012000101220
41231331011220310
512234222333140
6503014550340
763466643541
oct15575055064
94676160356
101844730420
118673362a5
124359683b0
13235251a80
14136ddbbc8
15abe41bd0
hex6df45a34

1844730420 has 96 divisors (see below), whose sum is σ = 5569818240. Its totient is φ = 453496320.

The previous prime is 1844730413. The next prime is 1844730421. The reversal of 1844730420 is 240374481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1844730421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137210 + ... + 1138830.

It is an arithmetic number, because the mean of its divisors is an integer number (58018940).

Almost surely, 21844730420 is an apocalyptic number.

1844730420 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 1844730420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784909120).

1844730420 is an abundant number, since it is smaller than the sum of its proper divisors (3725087820).

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

1844730420 is a wasteful number, since it uses less digits than its factorization.

1844730420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1844730420 is about 42950.3250278738. The cubic root of 1844730420 is about 1226.4343426525.

The spelling of 1844730420 in words is "one billion, eight hundred forty-four million, seven hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1459 1621 2918 3242 4377 4863 5836 6484 7295 8105 8754 9726 14590 16210 17508 18967 19452 21073 21885 24315 29180 32420 37934 42146 43770 48630 56901 63219 75868 84292 87540 94835 97260 105365 113802 126438 189670 210730 227604 252876 284505 316095 379340 421460 569010 632190 1138020 1264380 2365039 4730078 7095117 9460156 11825195 14190234 23650390 28380468 30745507 35475585 47300780 61491014 70951170 92236521 122982028 141902340 153727535 184473042 307455070 368946084 461182605 614910140 922365210 1844730420