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1645303680 = 27325285643
BaseRepresentation
bin110001000010001…
…0101011110000000
311020122221002100100
41202010111132000
511332144204210
6431132322400
755525564506
oct14204253600
94218832310
101645303680
11774805009
1239b013400
13202b38697
14118728676
159969c5c0
hex62115780

1645303680 has 96 divisors (see below), whose sum is σ = 5681459160. Its totient is φ = 438746112.

The previous prime is 1645303633. The next prime is 1645303697. The reversal of 1645303680 is 863035461.

1645303680 is a `hidden beast` number, since 1 + 64 + 530 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137062 + ... + 148581.

Almost surely, 21645303680 is an apocalyptic number.

1645303680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1645303680 is an abundant number, since it is smaller than the sum of its proper divisors (4036155480).

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

1645303680 is a wasteful number, since it uses less digits than its factorization.

1645303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285668 (or 285653 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1645303680 is about 40562.3431275857. The cubic root of 1645303680 is about 1180.5435779591.

The spelling of 1645303680 in words is "one billion, six hundred forty-five million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 285643 571286 856929 1142572 1428215 1713858 2285144 2570787 2856430 3427716 4284645 4570288 5141574 5712860 6855432 8569290 9140576 10283148 11425720 12853935 13710864 17138580 18281152 20566296 22851440 25707870 27421728 34277160 36562304 41132592 45702880 51415740 54843456 68554320 82265184 91405760 102831480 109686912 137108640 164530368 182811520 205662960 274217280 329060736 411325920 548434560 822651840 1645303680