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1812122040 = 2335107141131
BaseRepresentation
bin110110000000010…
…1100100110111000
311200021211100010010
41230000230212320
512202400401130
6455452021520
762622532431
oct15400544670
94607740103
101812122040
1184a994123
12426a618a0
1322b575781
14132950488
15a91500b0
hex6c02c9b8

1812122040 has 64 divisors (see below), whose sum is σ = 5487212160. Its totient is φ = 478712960.

The previous prime is 1812122029. The next prime is 1812122041. The reversal of 1812122040 is 402212181.

It is a junction number, because it is equal to n+sod(n) for n = 1812121998 and 1812122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1812122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57726 + ... + 83405.

It is an arithmetic number, because the mean of its divisors is an integer number (85737690).

Almost surely, 21812122040 is an apocalyptic number.

1812122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1812122040 is an abundant number, since it is smaller than the sum of its proper divisors (3675090120).

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

1812122040 is a wasteful number, since it uses less digits than its factorization.

1812122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141252 (or 141248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1812122040 is about 42569.0267682972. The cubic root of 1812122040 is about 1219.1649844674.

The spelling of 1812122040 in words is "one billion, eight hundred twelve million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 141131 282262 423393 564524 705655 846786 1129048 1411310 1693572 2116965 2822620 3387144 4233930 5645240 8467860 15101017 16935720 30202034 45303051 60404068 75505085 90606102 120808136 151010170 181212204 226515255 302020340 362424408 453030510 604040680 906061020 1812122040