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1645945020 = 2232582711057
BaseRepresentation
bin110001000011011…
…0010000010111100
311020201010200002200
41202012302002330
511332330220040
6431154151500
755534205346
oct14206620274
94221120080
101645945020
11775102945
1239b282590
13203001585
14118854296
1599777630
hex621b20bc

1645945020 has 72 divisors (see below), whose sum is σ = 4999189104. Its totient is φ = 438348288.

The previous prime is 1645945003. The next prime is 1645945027. The reversal of 1645945020 is 205495461.

1645945020 is a `hidden beast` number, since 1 + 64 + 5 + 94 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645945027) 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 23 ways as a sum of consecutive naturals, for example, 143332 + ... + 154388.

It is an arithmetic number, because the mean of its divisors is an integer number (69433182).

Almost surely, 21645945020 is an apocalyptic number.

1645945020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1645945020 is an abundant number, since it is smaller than the sum of its proper divisors (3353244084).

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

1645945020 is a wasteful number, since it uses less digits than its factorization.

1645945020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1645945020 is about 40570.2479657199. The cubic root of 1645945020 is about 1180.6969501445.

The spelling of 1645945020 in words is "one billion, six hundred forty-five million, nine hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 827 1654 2481 3308 4135 4962 7443 8270 9924 11057 12405 14886 16540 22114 24810 29772 33171 37215 44228 49620 55285 66342 74430 99513 110570 132684 148860 165855 199026 221140 331710 398052 497565 663420 995130 1990260 9144139 18288278 27432417 36576556 45720695 54864834 82297251 91441390 109729668 137162085 164594502 182882780 274324170 329189004 411486255 548648340 822972510 1645945020