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1828382940 = 2232511389891
BaseRepresentation
bin110110011111010…
…1110100011011100
311201102102110212200
41230332232203130
512221031223230
6501232331500
763210666336
oct15476564334
94642373780
101828382940
1185909018a
124303a3b90
13231a49cc7
14134b84456
15aa7b3160
hex6cfae8dc

1828382940 has 72 divisors (see below), whose sum is σ = 5595237648. Its totient is φ = 483248640.

The previous prime is 1828382917. The next prime is 1828382993. The reversal of 1828382940 is 492838281.

1828382940 is a `hidden beast` number, since 182 + 8 + 382 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24606 + ... + 65285.

It is an arithmetic number, because the mean of its divisors is an integer number (77711634).

Almost surely, 21828382940 is an apocalyptic number.

1828382940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828382940 is an abundant number, since it is smaller than the sum of its proper divisors (3766854708).

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

1828382940 is a wasteful number, since it uses less digits than its factorization.

1828382940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90019 (or 90014 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1828382940 is about 42759.5947127659. The cubic root of 1828382940 is about 1222.8008167353.

The spelling of 1828382940 in words is "one billion, eight hundred twenty-eight million, three hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 89891 179782 269673 359564 449455 539346 809019 898910 1078692 1348365 1618038 1797820 2696730 3236076 4045095 5393460 8090190 10157683 16180380 20315366 30473049 40630732 50788415 60946098 91419147 101576830 121892196 152365245 182838294 203153660 304730490 365676588 457095735 609460980 914191470 1828382940