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1820145474 = 232722279091
BaseRepresentation
bin110110001111101…
…0011011101000010
311200211220222012100
41230133103131002
512211424123344
6500340011230
763050660400
oct15437233502
94624828170
101820145474
11854474264
12429690b16
13230124774
14133a3c470
15a9bd7569
hex6c7d3742

1820145474 has 72 divisors (see below), whose sum is σ = 4608225648. Its totient is φ = 517693680.

The previous prime is 1820145433. The next prime is 1820145487. The reversal of 1820145474 is 4745410281.

It is a happy number.

1820145474 is a `hidden beast` number, since 182 + 0 + 1 + 4 + 5 + 474 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 195669 + ... + 204759.

It is an arithmetic number, because the mean of its divisors is an integer number (64003134).

Almost surely, 21820145474 is an apocalyptic number.

1820145474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820145474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304112824).

1820145474 is an abundant number, since it is smaller than the sum of its proper divisors (2788080174).

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

1820145474 is a wasteful number, since it uses less digits than its factorization.

1820145474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1820145474 is about 42663.1629629122. The cubic root of 1820145474 is about 1220.9616788155.

The spelling of 1820145474 in words is "one billion, eight hundred twenty million, one hundred forty-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 227 294 441 454 681 882 1362 1589 2043 3178 4086 4767 9091 9534 11123 14301 18182 22246 27273 28602 33369 54546 63637 66738 81819 100107 127274 163638 190911 200214 381822 445459 572733 890918 1145466 1336377 2063657 2672754 4009131 4127314 6190971 8018262 12381942 14445599 18572913 28891198 37145826 43336797 86673594 101119193 130010391 202238386 260020782 303357579 606715158 910072737 1820145474