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1800285840 = 2432513119087
BaseRepresentation
bin110101101001110…
…0010111010010000
311122110112222220100
41223103202322100
512141333121330
6454350212400
762420114523
oct15323427220
94573488810
101800285840
1184423a441
12422ab4100
13228c901c2
1413114cbba
15a80b3060
hex6b4e2e90

1800285840 has 120 divisors (see below), whose sum is σ = 6092431488. Its totient is φ = 476386560.

The previous prime is 1800285811. The next prime is 1800285841. The reversal of 1800285840 is 485820081.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1800285795 and 1800285804.

It is not an unprimeable number, because it can be changed into a prime (1800285841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84777 + ... + 103863.

Almost surely, 21800285840 is an apocalyptic number.

1800285840 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 1800285840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046215744).

1800285840 is an abundant number, since it is smaller than the sum of its proper divisors (4292145648).

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

1800285840 is a wasteful number, since it uses less digits than its factorization.

1800285840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237 (or 19228 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1800285840 is about 42429.7753941734. The cubic root of 1800285840 is about 1216.5047859517.

The spelling of 1800285840 in words is "one billion, eight hundred million, two hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3930 4716 5240 5895 6288 7860 9432 10480 11790 15720 18864 19087 23580 31440 38174 47160 57261 76348 94320 95435 114522 152696 171783 190870 229044 286305 305392 343566 381740 458088 572610 687132 763480 858915 916176 1145220 1374264 1526960 1717830 2290440 2500397 2748528 3435660 4580880 5000794 6871320 7501191 10001588 12501985 13742640 15002382 20003176 22503573 25003970 30004764 37505955 40006352 45007146 50007940 60009528 75011910 90014292 100015880 112517865 120019056 150023820 180028584 200031760 225035730 300047640 360057168 450071460 600095280 900142920 1800285840