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1800913140 = 22325135631367
BaseRepresentation
bin110101101010111…
…1100000011110100
311122111201212101200
41223111330003310
512142013210030
6454411452500
762425336425
oct15325740364
94574655350
101800913140
11844628774
12423157130
1322914c8a0
1413127364c
15a8188d60
hex6b57c0f4

1800913140 has 144 divisors (see below), whose sum is σ = 5897743488. Its totient is φ = 442190592.

The previous prime is 1800913117. The next prime is 1800913141. The reversal of 1800913140 is 413190081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800913141) 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 47 ways as a sum of consecutive naturals, for example, 1316737 + ... + 1318103.

It is an arithmetic number, because the mean of its divisors is an integer number (40956552).

Almost surely, 21800913140 is an apocalyptic number.

1800913140 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 1800913140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948871744).

1800913140 is an abundant number, since it is smaller than the sum of its proper divisors (4096830348).

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

1800913140 is a wasteful number, since it uses less digits than its factorization.

1800913140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1800913140 is about 42437.1669648199. The cubic root of 1800913140 is about 1216.6460644121.

The spelling of 1800913140 in words is "one billion, eight hundred million, nine hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 563 585 780 1126 1170 1367 1689 2252 2340 2734 2815 3378 4101 5067 5468 5630 6756 6835 7319 8202 8445 10134 11260 12303 13670 14638 16404 16890 17771 20268 20505 21957 24606 25335 27340 29276 33780 35542 36595 41010 43914 49212 50670 53313 61515 65871 71084 73190 82020 87828 88855 101340 106626 109785 123030 131742 146380 159939 177710 213252 219570 246060 263484 266565 319878 329355 355420 439140 533130 639756 658710 769621 799695 1066260 1317420 1539242 1599390 2308863 3078484 3198780 3848105 4617726 6926589 7696210 9235452 10005073 11544315 13853178 15392420 20010146 23088630 27706356 30015219 34632945 40020292 46177260 50025365 60030438 69265890 90045657 100050730 120060876 138531780 150076095 180091314 200101460 300152190 360182628 450228285 600304380 900456570 1800913140