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1840505540 = 2252323916741
BaseRepresentation
bin110110110110011…
…1110001011000100
311202021020100221212
41231230332023010
512232132134130
6502344230552
763416016236
oct15554761304
94667210855
101840505540
11864a10065
1243446b458
13234402a43
1413661c256
15ab8a9e95
hex6db3e2c4

1840505540 has 48 divisors (see below), whose sum is σ = 4050224640. Its totient is φ = 701205120.

The previous prime is 1840505519. The next prime is 1840505549. The reversal of 1840505540 is 455050481.

It is a junction number, because it is equal to n+sod(n) for n = 1840505497 and 1840505506.

It is not an unprimeable number, because it can be changed into a prime (1840505549) 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 15 ways as a sum of consecutive naturals, for example, 101570 + ... + 118310.

It is an arithmetic number, because the mean of its divisors is an integer number (84379680).

Almost surely, 21840505540 is an apocalyptic number.

1840505540 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 1840505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025112320).

1840505540 is an abundant number, since it is smaller than the sum of its proper divisors (2209719100).

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

1840505540 is a wasteful number, since it uses less digits than its factorization.

1840505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 1840505540 is about 42901.1135053625. The cubic root of 1840505540 is about 1225.4973496246.

The spelling of 1840505540 in words is "one billion, eight hundred forty million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 239 460 478 956 1195 2390 4780 5497 10994 16741 21988 27485 33482 54970 66964 83705 109940 167410 334820 385043 770086 1540172 1925215 3850430 4001099 7700860 8002198 16004396 20005495 40010990 80021980 92025277 184050554 368101108 460126385 920252770 1840505540